97881280 has 112 divisors (see below), whose sum is σ = 273807936. Its totient is φ = 32624640.

The previous prime is 97881269. The next prime is 97881283. The reversal of 97881280 is 8218879.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (97881283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82290 + ... + 83470.

Almost surely, 2^97881280 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 97881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136903968).

97881280 is an abundant number, since it is smaller than the sum of its proper divisors (175926656).

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

97881280 is a wasteful number, since it uses less digits than its factorization.

97881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The square root of 97881280 is about 9893.4968539945. The cubic root of 97881280 is about 460.8573801681.

The spelling of 97881280 in words is "ninety-seven million, eight hundred eighty-one thousand, two hundred eighty".