961531200 has 252 divisors, whose sum is σ = 3906133920. Its totient is φ = 219755520.

The previous prime is 961531171. The next prime is 961531229. The reversal of 961531200 is 2135169.

961531200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961531171) and next prime (961531229).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96031 + ... + 105569.

Almost surely, 2^961531200 is an apocalyptic number.

961531200 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 961531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953066960).

961531200 is an abundant number, since it is smaller than the sum of its proper divisors (2944602720).

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

961531200 is a wasteful number, since it uses less digits than its factorization.

961531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 961531200 is about 31008.5665582916. The cubic root of 961531200 is about 987.0090322310.

Adding to 961531200 its reverse (2135169), we get a palindrome (963666369).

The spelling of 961531200 in words is "nine hundred sixty-one million, five hundred thirty-one thousand, two hundred".