96664400 has 240 divisors, whose sum is σ = 295219200. Its totient is φ = 29652480.

The previous prime is 96664369. The next prime is 96664411. The reversal of 96664400 is 446669.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223561 + ... + 1223639.

It is an arithmetic number, because the mean of its divisors is an integer number (1230080).

Almost surely, 2^96664400 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 96664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609600).

96664400 is an abundant number, since it is smaller than the sum of its proper divisors (198554800).

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

96664400 is a wasteful number, since it uses less digits than its factorization.

96664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 96664400 is about 9831.8055310304. The cubic root of 96664400 is about 458.9395863484.

The spelling of 96664400 in words is "ninety-six million, six hundred sixty-four thousand, four hundred".