36492120 has 160 divisors (see below), whose sum is σ = 140263200. Its totient is φ = 8335872.

The previous prime is 36492109. The next prime is 36492133. The reversal of 36492120 is 2129463.

36492120 is a `hidden beast` number, since 3 + 649 + 2 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21876 + ... + 23484.

It is an arithmetic number, because the mean of its divisors is an integer number (876645).

Almost surely, 2^36492120 is an apocalyptic number.

36492120 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 36492120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70131600).

36492120 is an abundant number, since it is smaller than the sum of its proper divisors (103771080).

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

36492120 is a wasteful number, since it uses less digits than its factorization.

36492120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36492120 is about 6040.8707981548. The cubic root of 36492120 is about 331.6904988080.

The spelling of 36492120 in words is "thirty-six million, four hundred ninety-two thousand, one hundred twenty".