164365632 has 112 divisors (see below), whose sum is σ = 490199680. Its totient is φ = 53996544.

The previous prime is 164365631. The next prime is 164365657. The reversal of 164365632 is 236563461.

164365632 is a `hidden beast` number, since 1 + 64 + 36 + 563 + 2 = 666.

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 (164365631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125493 + ... + 126795.

Almost surely, 2^164365632 is an apocalyptic number.

164365632 is a gapful number since it is divisible by the number (12) 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 164365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245099840).

164365632 is an abundant number, since it is smaller than the sum of its proper divisors (325834048).

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

164365632 is a wasteful number, since it uses less digits than its factorization.

164365632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1381 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 164365632 is about 12820.5160582560. The cubic root of 164365632 is about 547.7768462890.

The spelling of 164365632 in words is "one hundred sixty-four million, three hundred sixty-five thousand, six hundred thirty-two".