172461906 has 96 divisors (see below), whose sum is σ = 418207680. Its totient is φ = 52641792.

The previous prime is 172461859. The next prime is 172461907. The reversal of 172461906 is 609164271.

172461906 is a `hidden beast` number, since 17 + 24 + 619 + 0 + 6 = 666.

172461906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172461907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670930 + ... + 671186.

It is an arithmetic number, because the mean of its divisors is an integer number (4356330).

Almost surely, 2^172461906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172461906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209103840).

172461906 is an abundant number, since it is smaller than the sum of its proper divisors (245745774).

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

172461906 is a wasteful number, since it uses less digits than its factorization.

172461906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 172461906 is about 13132.4752426951. The cubic root of 172461906 is about 556.6271605144.

The spelling of 172461906 in words is "one hundred seventy-two million, four hundred sixty-one thousand, nine hundred six".