35921664 has 72 divisors (see below), whose sum is σ = 106247120. Its totient is φ = 11971584.

The previous prime is 35921659. The next prime is 35921671. The reversal of 35921664 is 46612953.

It is a happy number.

35921664 is a `hidden beast` number, since 3 + 592 + 1 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4314 + ... + 9510.

Almost surely, 2^35921664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53123560).

35921664 is an abundant number, since it is smaller than the sum of its proper divisors (70325456).

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

35921664 is an equidigital number, since it uses as much as digits as its factorization.

35921664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5202 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 35921664 is about 5993.4684448990. The cubic root of 35921664 is about 329.9530511722.

It can be divided in two parts, 35921 and 664, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 35921664 in words is "thirty-five million, nine hundred twenty-one thousand, six hundred sixty-four".