96379920 has 240 divisors, whose sum is σ = 398641152. Its totient is φ = 20321280.

The previous prime is 96379901. The next prime is 96379973. The reversal of 96379920 is 2997369.

96379920 is a `hidden beast` number, since 9 + 637 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 64785 + ... + 66255.

Almost surely, 2^96379920 is an apocalyptic number.

96379920 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 96379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199320576).

96379920 is an abundant number, since it is smaller than the sum of its proper divisors (302261232).

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

96379920 is a wasteful number, since it uses less digits than its factorization.

96379920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1501 counting only the distinct ones).

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

The square root of 96379920 is about 9817.3275385922. The cubic root of 96379920 is about 458.4889295043.

The spelling of 96379920 in words is "ninety-six million, three hundred seventy-nine thousand, nine hundred twenty".