172686864 has 160 divisors (see below), whose sum is σ = 537108480. Its totient is φ = 46771200.

The previous prime is 172686841. The next prime is 172686887. The reversal of 172686864 is 468686271.

It is an interprime number because it is at equal distance from previous prime (172686841) and next prime (172686887).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 614404 + ... + 614684.

It is an arithmetic number, because the mean of its divisors is an integer number (3356928).

Almost surely, 2^172686864 is an apocalyptic number.

172686864 is a gapful number since it is divisible by the number (14) 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 172686864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268554240).

172686864 is an abundant number, since it is smaller than the sum of its proper divisors (364421616).

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

172686864 is a wasteful number, since it uses less digits than its factorization.

172686864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 172686864 is about 13141.0374019710. The cubic root of 172686864 is about 556.8690754407.

The spelling of 172686864 in words is "one hundred seventy-two million, six hundred eighty-six thousand, eight hundred sixty-four".