36247680 has 384 divisors, whose sum is σ = 152755200. Its totient is φ = 7741440.

The previous prime is 36247661. The next prime is 36247681. The reversal of 36247680 is 8674263.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36247681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169265 + ... + 1169295.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^36247680 is an apocalyptic number.

36247680 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 36247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

36247680 is an abundant number, since it is smaller than the sum of its proper divisors (116507520).

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

36247680 is a wasteful number, since it uses less digits than its factorization.

36247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

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

The square root of 36247680 is about 6020.6046208001. The cubic root of 36247680 is about 330.9482368710.

The spelling of 36247680 in words is "thirty-six million, two hundred forty-seven thousand, six hundred eighty".