961452600 has 96 divisors (see below), whose sum is σ = 3076707840. Its totient is φ = 248112000.

The previous prime is 961452599. The next prime is 961452643. The reversal of 961452600 is 6254169.

961452600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×961452600² = 1848782204093520000, which contains 22 as substring.

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, 7246 + ... + 44445.

It is an arithmetic number, because the mean of its divisors is an integer number (32049040).

Almost surely, 2^961452600 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 961452600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538353920).

961452600 is an abundant number, since it is smaller than the sum of its proper divisors (2115255240).

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

961452600 is a wasteful number, since it uses less digits than its factorization.

961452600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51741 (or 51732 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 961452600 is about 31007.2991406862. The cubic root of 961452600 is about 986.9821372730.

The spelling of 961452600 in words is "nine hundred sixty-one million, four hundred fifty-two thousand, six hundred".