36296640 has 112 divisors (see below), whose sum is σ = 128076960. Its totient is φ = 9676800.

The previous prime is 36296639. The next prime is 36296651. The reversal of 36296640 is 4669263.

36296640 is a `hidden beast` number, since 3 + 6 + 2 + 9 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36296595 and 36296604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6540 + ... + 10740.

Almost surely, 2^36296640 is an apocalyptic number.

36296640 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 36296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64038480).

36296640 is an abundant number, since it is smaller than the sum of its proper divisors (91780320).

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

36296640 is a wasteful number, since it uses less digits than its factorization.

36296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36296640 is about 6024.6692855293. The cubic root of 36296640 is about 331.0971745490.

The spelling of 36296640 in words is "thirty-six million, two hundred ninety-six thousand, six hundred forty".