96920064 has 240 divisors, whose sum is σ = 312792480. Its totient is φ = 29859840.

The previous prime is 96920051. The next prime is 96920069. The reversal of 96920064 is 46002969.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96920069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363884 + ... + 2363924.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 2^96920064 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 96920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

96920064 is an abundant number, since it is smaller than the sum of its proper divisors (215872416).

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

96920064 is an equidigital number, since it uses as much as digits as its factorization.

96920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96920064 is about 9844.7988298390. The cubic root of 96920064 is about 459.3438407853.

The spelling of 96920064 in words is "ninety-six million, nine hundred twenty thousand, sixty-four".