961506180 has 96 divisors (see below), whose sum is σ = 2999808000. Its totient is φ = 255677184.

The previous prime is 961506167. The next prime is 961506181. The reversal of 961506180 is 81605169.

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

It is not an unprimeable number, because it can be changed into a prime (961506181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204496 + ... + 209144.

It is an arithmetic number, because the mean of its divisors is an integer number (31248000).

Almost surely, 2^961506180 is an apocalyptic number.

961506180 is a gapful number since it is divisible by the number (90) 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 961506180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

961506180 is an abundant number, since it is smaller than the sum of its proper divisors (2038301820).

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

961506180 is a wasteful number, since it uses less digits than its factorization.

961506180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 961506180 is about 31008.1631187660. The cubic root of 961506180 is about 987.0004711706. Note that the first 3 decimals are identical.

The spelling of 961506180 in words is "nine hundred sixty-one million, five hundred six thousand, one hundred eighty".