96853792 has 72 divisors (see below), whose sum is σ = 233558640. Its totient is φ = 39312000.

The previous prime is 96853789. The next prime is 96853807. The reversal of 96853792 is 29735869.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28167 + ... + 31417.

It is an arithmetic number, because the mean of its divisors is an integer number (3243870).

Almost surely, 2^96853792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96853792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116779320).

96853792 is an abundant number, since it is smaller than the sum of its proper divisors (136704848).

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

96853792 is a wasteful number, since it uses less digits than its factorization.

96853792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3279 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 96853792 is about 9841.4324160663. The cubic root of 96853792 is about 459.2391202048.

It can be divided in two parts, 968 and 53792, that multiplied together give a square (52070656 = 7216²).

The spelling of 96853792 in words is "ninety-six million, eight hundred fifty-three thousand, seven hundred ninety-two".