36427140 has 72 divisors (see below), whose sum is σ = 111285720. Its totient is φ = 9644544.

The previous prime is 36427133. The next prime is 36427151. The reversal of 36427140 is 4172463.

36427140 is a `hidden beast` number, since 3 + 642 + 7 + 14 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 31337604 = 2256^2 + 5598^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27616 + ... + 28904.

It is an arithmetic number, because the mean of its divisors is an integer number (1545635).

Almost surely, 2^36427140 is an apocalyptic number.

36427140 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 36427140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55642860).

36427140 is an abundant number, since it is smaller than the sum of its proper divisors (74858580).

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

36427140 is a wasteful number, since it uses less digits than its factorization.

36427140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 36427140 is about 6035.4900380996. The cubic root of 36427140 is about 331.4935060118.

The spelling of 36427140 in words is "thirty-six million, four hundred twenty-seven thousand, one hundred forty".