96102864 has 180 divisors, whose sum is σ = 318595680. Its totient is φ = 26807040.

The previous prime is 96102863. The next prime is 96102869. The reversal of 96102864 is 46820169.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96102863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267517 + ... + 267875.

It is an arithmetic number, because the mean of its divisors is an integer number (1769976).

Almost surely, 2^96102864 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 96102864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159297840).

96102864 is an abundant number, since it is smaller than the sum of its proper divisors (222492816).

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

96102864 is a wasteful number, since it uses less digits than its factorization.

96102864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 96102864 is about 9803.2068222597. The cubic root of 96102864 is about 458.0491801526.

The spelling of 96102864 in words is "ninety-six million, one hundred two thousand, eight hundred sixty-four".