961534400 has 42 divisors (see below), whose sum is σ = 2365979520. Its totient is φ = 384613120.

The previous prime is 961534391. The next prime is 961534417. The reversal of 961534400 is 4435169.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298880 + ... + 302079.

Almost surely, 2^961534400 is an apocalyptic number.

It is an amenable number.

961534400 is an abundant number, since it is smaller than the sum of its proper divisors (1404445120).

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

961534400 is a wasteful number, since it uses less digits than its factorization.

961534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600981 (or 600966 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 961534400 is about 31008.6181568931. The cubic root of 961534400 is about 987.0101271601.

Adding to 961534400 its reverse (4435169), we get a palindrome (965969569).

The spelling of 961534400 in words is "nine hundred sixty-one million, five hundred thirty-four thousand, four hundred".