96792840 has 256 divisors, whose sum is σ = 349920000. Its totient is φ = 23721984.

The previous prime is 96792811. The next prime is 96792847. The reversal of 96792840 is 4829769.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (96792847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1087516 + ... + 1087604.

It is an arithmetic number, because the mean of its divisors is an integer number (1366875).

Almost surely, 2^96792840 is an apocalyptic number.

96792840 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 96792840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960000).

96792840 is an abundant number, since it is smaller than the sum of its proper divisors (253127160).

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

96792840 is a wasteful number, since it uses less digits than its factorization.

96792840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 96792840 is about 9838.3352250266. The cubic root of 96792840 is about 459.1427639128.

The spelling of 96792840 in words is "ninety-six million, seven hundred ninety-two thousand, eight hundred forty".