88166880 has 120 divisors (see below), whose sum is σ = 311201352. Its totient is φ = 23507712.

The previous prime is 88166849. The next prime is 88166887. The reversal of 88166880 is 8866188.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (88166887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9559 + ... + 16361.

Almost surely, 2^88166880 is an apocalyptic number.

88166880 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 88166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155600676).

88166880 is an abundant number, since it is smaller than the sum of its proper divisors (223034472).

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

88166880 is a wasteful number, since it uses less digits than its factorization.

88166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 88166880 is about 9389.7220406144. The cubic root of 88166880 is about 445.0770055686.

The spelling of 88166880 in words is "eighty-eight million, one hundred sixty-six thousand, eight hundred eighty".