172963840 has 192 divisors, whose sum is σ = 503193600. Its totient is φ = 55738368.

The previous prime is 172963823. The next prime is 172963873. The reversal of 172963840 is 48369271.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 172963793 and 172963802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361857 + ... + 1361983.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^172963840 is an apocalyptic number.

172963840 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 172963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

172963840 is an abundant number, since it is smaller than the sum of its proper divisors (330229760).

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

172963840 is a wasteful number, since it uses less digits than its factorization.

172963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 172963840 is about 13151.5717691841. The cubic root of 172963840 is about 557.1666409809.

The spelling of 172963840 in words is "one hundred seventy-two million, nine hundred sixty-three thousand, eight hundred forty".