96493600 has 72 divisors (see below), whose sum is σ = 269232768. Its totient is φ = 33081600.

The previous prime is 96493597. The next prime is 96493627. The reversal of 96493600 is 639469.

It is a super-2 number, since 2×96493600² = 18622029681920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96493600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3016 + ... + 14215.

It is an arithmetic number, because the mean of its divisors is an integer number (3739344).

Almost surely, 2^96493600 is an apocalyptic number.

It is an amenable number.

96493600 is an abundant number, since it is smaller than the sum of its proper divisors (172739168).

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

96493600 is a wasteful number, since it uses less digits than its factorization.

96493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17258 (or 17245 counting only the distinct ones).

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

The square root of 96493600 is about 9823.1155953699. The cubic root of 96493600 is about 458.6691210583.

The spelling of 96493600 in words is "ninety-six million, four hundred ninety-three thousand, six hundred".