96769120 has 72 divisors (see below), whose sum is σ = 265963824. Its totient is φ = 33175296.

The previous prime is 96769091. The next prime is 96769133. The reversal of 96769120 is 2196769.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 1669 + ... + 14011.

It is an arithmetic number, because the mean of its divisors is an integer number (3693942).

Almost surely, 2^96769120 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 96769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132981912).

96769120 is an abundant number, since it is smaller than the sum of its proper divisors (169194704).

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

96769120 is a wasteful number, since it uses less digits than its factorization.

96769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12372 (or 12357 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 96769120 is about 9837.1296626607. The cubic root of 96769120 is about 459.1052550911.

The spelling of 96769120 in words is "ninety-six million, seven hundred sixty-nine thousand, one hundred twenty".