961167900 has 144 divisors (see below), whose sum is σ = 3467278080. Its totient is φ = 199718400.

The previous prime is 961167853. The next prime is 961167923. The reversal of 961167900 is 9761169.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2296 + ... + 43904.

It is an arithmetic number, because the mean of its divisors is an integer number (24078320).

Almost surely, 2^961167900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961167900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733639040).

961167900 is an abundant number, since it is smaller than the sum of its proper divisors (2506110180).

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

961167900 is a wasteful number, since it uses less digits than its factorization.

961167900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41644 (or 41637 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 961167900 is about 31002.7079462424. The cubic root of 961167900 is about 986.8847077674.

It can be divided in two parts, 961 and 167900, that added together give a palindrome (168861).

The spelling of 961167900 in words is "nine hundred sixty-one million, one hundred sixty-seven thousand, nine hundred".