164653200 has 90 divisors (see below), whose sum is σ = 571404834. Its totient is φ = 43906560.

The previous prime is 164653199. The next prime is 164653201. The reversal of 164653200 is 2356461.

164653200 is a `hidden beast` number, since 1 + 6 + 4 + 653 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164653199) and next prime (164653201).

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 162715536 = 1392^2 + 12756^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×164653200² = 54221352540480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164653201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19269 + ... + 26468.

Almost surely, 2^164653200 is an apocalyptic number.

164653200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164653200 is an abundant number, since it is smaller than the sum of its proper divisors (406751634).

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

164653200 is a wasteful number, since it uses less digits than its factorization.

164653200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45761 (or 45747 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164653200 is about 12831.7263063081. The cubic root of 164653200 is about 548.0961168362.

The spelling of 164653200 in words is "one hundred sixty-four million, six hundred fifty-three thousand, two hundred".