172823040 has 240 divisors, whose sum is σ = 645693048. Its totient is φ = 42467328.

The previous prime is 172823039. The next prime is 172823059. The reversal of 172823040 is 40328271.

It can be written as a sum of positive squares in 4 ways, for example, as 156950784 + 15872256 = 12528^2 + 3984^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 172822995 and 172823013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299232 + ... + 299808.

Almost surely, 2^172823040 is an apocalyptic number.

172823040 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 172823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322846524).

172823040 is an abundant number, since it is smaller than the sum of its proper divisors (472870008).

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

172823040 is a wasteful number, since it uses less digits than its factorization.

172823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 172823040 is about 13146.2177070061. The cubic root of 172823040 is about 557.0154140738.

The spelling of 172823040 in words is "one hundred seventy-two million, eight hundred twenty-three thousand, forty".