164952690 has 64 divisors (see below), whose sum is σ = 455777280. Its totient is φ = 37425600.

The previous prime is 164952677. The next prime is 164952701. The reversal of 164952690 is 96259461.

It is a happy number.

It is a super-2 number, since 2×164952690² = 54418779876472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26365 + ... + 32015.

It is an arithmetic number, because the mean of its divisors is an integer number (7121520).

Almost surely, 2^164952690 is an apocalyptic number.

164952690 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 164952690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227888640).

164952690 is an abundant number, since it is smaller than the sum of its proper divisors (290824590).

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

164952690 is a wasteful number, since it uses less digits than its factorization.

164952690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 164952690 is about 12843.3909073889. The cubic root of 164952690 is about 548.4282287781.

The spelling of 164952690 in words is "one hundred sixty-four million, nine hundred fifty-two thousand, six hundred ninety".