164910690 has 192 divisors, whose sum is σ = 539136000. Its totient is φ = 34100352.

The previous prime is 164910689. The next prime is 164910701. The reversal of 164910690 is 96019461.

164910690 is a `hidden beast` number, since 1 + 649 + 1 + 0 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×164910690² = 54391071352552200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275011 + ... + 275609.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2^164910690 is an apocalyptic number.

164910690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164910690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

164910690 is an abundant number, since it is smaller than the sum of its proper divisors (374225310).

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

164910690 is a wasteful number, since it uses less digits than its factorization.

164910690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 164910690 is about 12841.7557210842. The cubic root of 164910690 is about 548.3816781765.

It can be divided in two parts, 164910 and 690, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 164910690 in words is "one hundred sixty-four million, nine hundred ten thousand, six hundred ninety".