164972700 has 252 divisors, whose sum is σ = 561644608. Its totient is φ = 41990400.

The previous prime is 164972683. The next prime is 164972719. The reversal of 164972700 is 7279461.

It is a happy number.

164972700 is a `hidden beast` number, since 1 + 649 + 7 + 2 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 83 ways as a sum of consecutive naturals, for example, 2259864 + ... + 2259936.

Almost surely, 2^164972700 is an apocalyptic number.

164972700 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 164972700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280822304).

164972700 is an abundant number, since it is smaller than the sum of its proper divisors (396671908).

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

164972700 is a wasteful number, since it uses less digits than its factorization.

164972700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 164972700 is about 12844.1698836476. The cubic root of 164972700 is about 548.4504040356.

The spelling of 164972700 in words is "one hundred sixty-four million, nine hundred seventy-two thousand, seven hundred".