96145920 has 320 divisors, whose sum is σ = 371226240. Its totient is φ = 23445504.

The previous prime is 96145877. The next prime is 96145927. The reversal of 96145920 is 2954169.

96145920 is a `hidden beast` number, since 9 + 61 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (96145927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898507 + ... + 898613.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^96145920 is an apocalyptic number.

96145920 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 96145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

96145920 is an abundant number, since it is smaller than the sum of its proper divisors (275080320).

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

96145920 is a wasteful number, since it uses less digits than its factorization.

96145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 96145920 is about 9805.4025924487. The cubic root of 96145920 is about 458.1175749960.

The spelling of 96145920 in words is "ninety-six million, one hundred forty-five thousand, nine hundred twenty".