96760920 has 192 divisors, whose sum is σ = 324172800. Its totient is φ = 23016960.

The previous prime is 96760903. The next prime is 96760997. The reversal of 96760920 is 2906769.

96760920 = T₃₆₀ + T₃₆₁ + ... + T₈₅₅.

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, 2615142 + ... + 2615178.

It is an arithmetic number, because the mean of its divisors is an integer number (1688400).

Almost surely, 2^96760920 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 96760920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162086400).

96760920 is an abundant number, since it is smaller than the sum of its proper divisors (227411880).

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

96760920 is a wasteful number, since it uses less digits than its factorization.

96760920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 96760920 is about 9836.7128655868. The cubic root of 96760920 is about 459.0922868721.

The spelling of 96760920 in words is "ninety-six million, seven hundred sixty thousand, nine hundred twenty".