96793920 has 224 divisors, whose sum is σ = 362102400. Its totient is φ = 24256512.

The previous prime is 96793891. The next prime is 96793951. The reversal of 96793920 is 2939769.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146551 + ... + 147209.

Almost surely, 2^96793920 is an apocalyptic number.

96793920 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 96793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051200).

96793920 is an abundant number, since it is smaller than the sum of its proper divisors (265308480).

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

96793920 is a wasteful number, since it uses less digits than its factorization.

96793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 96793920 is about 9838.3901122084. The cubic root of 96793920 is about 459.1444715885.

The spelling of 96793920 in words is "ninety-six million, seven hundred ninety-three thousand, nine hundred twenty".