96980800 has 126 divisors (see below), whose sum is σ = 277818342. Its totient is φ = 33223680.

The previous prime is 96980759. The next prime is 96980809. The reversal of 96980800 is 808969.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 83320384 = 3696^2 + 9128^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96980809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77782 + ... + 79018.

Almost surely, 2^96980800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138909171).

96980800 is an abundant number, since it is smaller than the sum of its proper divisors (180837542).

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

96980800 is a wasteful number, since it uses less digits than its factorization.

96980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 96980800 is about 9847.8830212386. The cubic root of 96980800 is about 459.4397716680.

The spelling of 96980800 in words is "ninety-six million, nine hundred eighty thousand, eight hundred".