172057680 has 120 divisors (see below), whose sum is σ = 611860392. Its totient is φ = 43180032.

The previous prime is 172057661. The next prime is 172057681. The reversal of 172057680 is 86750271.

172057680 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 576 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 167340096 = 2172^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-6 number, since 6×172057680⁶ (a number of 51 digits) contains 666666 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172057681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5212 + ... + 19268.

Almost surely, 2^172057680 is an apocalyptic number.

172057680 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 172057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305930196).

172057680 is an abundant number, since it is smaller than the sum of its proper divisors (439802712).

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

172057680 is a wasteful number, since it uses less digits than its factorization.

172057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14093 (or 14084 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 172057680 is about 13117.0758936586. The cubic root of 172057680 is about 556.1919355290.

The spelling of 172057680 in words is "one hundred seventy-two million, fifty-seven thousand, six hundred eighty".