96790320 has 240 divisors, whose sum is σ = 361075104. Its totient is φ = 23232000.

The previous prime is 96790307. The next prime is 96790321. The reversal of 96790320 is 2309769.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (96790321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958270 + ... + 958370.

Almost surely, 2^96790320 is an apocalyptic number.

96790320 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 96790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180537552).

96790320 is an abundant number, since it is smaller than the sum of its proper divisors (264284784).

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

96790320 is a wasteful number, since it uses less digits than its factorization.

96790320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 96790320 is about 9838.2071537450. The cubic root of 96790320 is about 459.1387792867.

The spelling of 96790320 in words is "ninety-six million, seven hundred ninety thousand, three hundred twenty".