96860800 has 48 divisors (see below), whose sum is σ = 239284350. Its totient is φ = 38743040.

The previous prime is 96860791. The next prime is 96860807. The reversal of 96860800 is 806869.

It can be written as a sum of positive squares in 3 ways, for example, as 85082176 + 11778624 = 9224^2 + 3432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96860800.

It is not an unprimeable number, because it can be changed into a prime (96860807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11935 + ... + 18334.

Almost surely, 2^96860800 is an apocalyptic number.

It is an amenable number.

96860800 is an abundant number, since it is smaller than the sum of its proper divisors (142423550).

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

96860800 is a wasteful number, since it uses less digits than its factorization.

96860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30293 (or 30276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 96860800 is about 9841.7884553571. The cubic root of 96860800 is about 459.2501962472.

The spelling of 96860800 in words is "ninety-six million, eight hundred sixty thousand, eight hundred".