96577920 has 288 divisors, whose sum is σ = 361361520. Its totient is φ = 24634368.

The previous prime is 96577909. The next prime is 96577951. The reversal of 96577920 is 2977569.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 4199029 + ... + 4199051.

Almost surely, 2^96577920 is an apocalyptic number.

96577920 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 96577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180680760).

96577920 is an abundant number, since it is smaller than the sum of its proper divisors (264783600).

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

96577920 is an frugal number, since it uses more digits than its factorization.

96577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 96577920 is about 9827.4065754908. The cubic root of 96577920 is about 458.8026833550.

The spelling of 96577920 in words is "ninety-six million, five hundred seventy-seven thousand, nine hundred twenty".