96936400 has 60 divisors (see below), whose sum is σ = 254073024. Its totient is φ = 35248000.

The previous prime is 96936391. The next prime is 96936401. The reversal of 96936400 is 463969.

It is a self number, because there is not a number n which added to its sum of digits gives 96936400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96936401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6616 + ... + 15415.

Almost surely, 2^96936400 is an apocalyptic number.

It is an amenable number.

96936400 is an abundant number, since it is smaller than the sum of its proper divisors (157136624).

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

96936400 is a wasteful number, since it uses less digits than its factorization.

96936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22060 (or 22049 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 96936400 is about 9845.6284715604. The cubic root of 96936400 is about 459.3696469983.

It can be divided in two parts, 96936 and 400, that added together give a cube (97336 = 46³).

The spelling of 96936400 in words is "ninety-six million, nine hundred thirty-six thousand, four hundred".