97886880 has 480 divisors, whose sum is σ = 430303104. Its totient is φ = 20404224.

The previous prime is 97886869. The next prime is 97886881. The reversal of 97886880 is 8868879.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×97886880² = 19163682552268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97886881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179319 + ... + 1179401.

Almost surely, 2^97886880 is an apocalyptic number.

97886880 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 97886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215151552).

97886880 is an abundant number, since it is smaller than the sum of its proper divisors (332416224).

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

97886880 is a wasteful number, since it uses less digits than its factorization.

97886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 97886880 is about 9893.7798641369. The cubic root of 97886880 is about 460.8661688834.

The spelling of 97886880 in words is "ninety-seven million, eight hundred eighty-six thousand, eight hundred eighty".