164957696 has 80 divisors (see below), whose sum is σ = 358786560. Its totient is φ = 75479040.

The previous prime is 164957671. The next prime is 164957699. The reversal of 164957696 is 696759461.

It is a super-2 number, since 2×164957696² = 54422082939256832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164957699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301295 + ... + 301841.

It is an arithmetic number, because the mean of its divisors is an integer number (4484832).

Almost surely, 2^164957696 is an apocalyptic number.

164957696 is a gapful number since it is divisible by the number (16) 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 164957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179393280).

164957696 is an abundant number, since it is smaller than the sum of its proper divisors (193828864).

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

164957696 is an equidigital number, since it uses as much as digits as its factorization.

164957696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 53.

The square root of 164957696 is about 12843.5857921376. The cubic root of 164957696 is about 548.4337766394.

The spelling of 164957696 in words is "one hundred sixty-four million, nine hundred fifty-seven thousand, six hundred ninety-six".