172964970 has 192 divisors, whose sum is σ = 509483520. Its totient is φ = 42052608.

The previous prime is 172964947. The next prime is 172964971. The reversal of 172964970 is 79469271.

172964970 is a `hidden beast` number, since 1 + 72 + 96 + 497 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172964971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2189391 + ... + 2189469.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^172964970 is an apocalyptic number.

172964970 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 172964970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

172964970 is an abundant number, since it is smaller than the sum of its proper divisors (336518550).

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

172964970 is a wasteful number, since it uses less digits than its factorization.

172964970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 172964970 is about 13151.6147297585. The cubic root of 172964970 is about 557.1678543307.

The spelling of 172964970 in words is "one hundred seventy-two million, nine hundred sixty-four thousand, nine hundred seventy".