36427680 has 144 divisors (see below), whose sum is σ = 127547784. Its totient is φ = 9461760.

The previous prime is 36427667. The next prime is 36427681. The reversal of 36427680 is 8672463.

36427680 is a `hidden beast` number, since 3 + 642 + 7 + 6 + 8 + 0 = 666.

36427680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8928144 + 27499536 = 2988^2 + 5244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36427681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58732 + ... + 59348.

Almost surely, 2^36427680 is an apocalyptic number.

36427680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63773892).

36427680 is an abundant number, since it is smaller than the sum of its proper divisors (91120104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36427680 is a wasteful number, since it uses less digits than its factorization.

36427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36427680 is about 6035.5347733237. The cubic root of 36427680 is about 331.4951440359.

It can be divided in two parts, 36 and 427680, that added together give a square (427716 = 654²).

The spelling of 36427680 in words is "thirty-six million, four hundred twenty-seven thousand, six hundred eighty".