164655040 has 112 divisors (see below), whose sum is σ = 442752480. Its totient is φ = 57774080.

The previous prime is 164655037. The next prime is 164655061. The reversal of 164655040 is 40556461.

It is a super-2 number, since 2×164655040² = 54222564394803200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 164654993 and 164655011.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 101274 + ... + 102886.

Almost surely, 2^164655040 is an apocalyptic number.

164655040 is a gapful number since it is divisible by the number (10) 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 164655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221376240).

164655040 is an abundant number, since it is smaller than the sum of its proper divisors (278097440).

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

164655040 is a wasteful number, since it uses less digits than its factorization.

164655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 164655040 is about 12831.7980033977. The cubic root of 164655040 is about 548.0981584871.

The spelling of 164655040 in words is "one hundred sixty-four million, six hundred fifty-five thousand, forty".