96652800 has 180 divisors, whose sum is σ = 346305960. Its totient is φ = 25743360.

The previous prime is 96652783. The next prime is 96652819. The reversal of 96652800 is 825669.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114781 + ... + 115619.

It is an arithmetic number, because the mean of its divisors is an integer number (1923922).

Almost surely, 2^96652800 is an apocalyptic number.

96652800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173152980).

96652800 is an abundant number, since it is smaller than the sum of its proper divisors (249653160).

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

96652800 is a wasteful number, since it uses less digits than its factorization.

96652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96652800 is about 9831.2155911667. The cubic root of 96652800 is about 458.9212276001.

The spelling of 96652800 in words is "ninety-six million, six hundred fifty-two thousand, eight hundred".