96872448 has 48 divisors (see below), whose sum is σ = 258279840. Its totient is φ = 32288768.

The previous prime is 96872437. The next prime is 96872449. The reversal of 96872448 is 84427869.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 96872397 and 96872406.

It is not an unprimeable number, because it can be changed into a prime (96872449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1740 + ... + 14027.

It is an arithmetic number, because the mean of its divisors is an integer number (5380830).

Almost surely, 2^96872448 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 96872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129139920).

96872448 is an abundant number, since it is smaller than the sum of its proper divisors (161407392).

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

96872448 is a wasteful number, since it uses less digits than its factorization.

96872448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15792 (or 15772 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 96872448 is about 9842.3801999313. The cubic root of 96872448 is about 459.2686045605.

The spelling of 96872448 in words is "ninety-six million, eight hundred seventy-two thousand, four hundred forty-eight".