88176960 has 168 divisors, whose sum is σ = 321311016. Its totient is φ = 22118400.

The previous prime is 88176953. The next prime is 88176971. The reversal of 88176960 is 6967188.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 82301184 = 2424^2 + 9072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48060 + ... + 49860.

Almost surely, 2^88176960 is an apocalyptic number.

88176960 is a gapful number since it is divisible by the number (80) 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 88176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160655508).

88176960 is an abundant number, since it is smaller than the sum of its proper divisors (233134056).

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

88176960 is a wasteful number, since it uses less digits than its factorization.

88176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1828 counting only the distinct ones).

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

The square root of 88176960 is about 9390.2587823766. The cubic root of 88176960 is about 445.0939666061.

It can be divided in two parts, 881 and 76960, that added together give a square (77841 = 279²).

The spelling of 88176960 in words is "eighty-eight million, one hundred seventy-six thousand, nine hundred sixty".