96176880 has 180 divisors, whose sum is σ = 336150360. Its totient is φ = 24641280.

The previous prime is 96176867. The next prime is 96176881. The reversal of 96176880 is 8867169.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96176881) 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, 691851 + ... + 691989.

It is an arithmetic number, because the mean of its divisors is an integer number (1867502).

Almost surely, 2^96176880 is an apocalyptic number.

96176880 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 96176880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168075180).

96176880 is an abundant number, since it is smaller than the sum of its proper divisors (239973480).

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

96176880 is a wasteful number, since it uses less digits than its factorization.

96176880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 96176880 is about 9806.9811868893. The cubic root of 96176880 is about 458.1667426154.

It can be divided in two parts, 961 and 76880, that added together give a square (77841 = 279²).

The spelling of 96176880 in words is "ninety-six million, one hundred seventy-six thousand, eight hundred eighty".