97998480 has 120 divisors (see below), whose sum is σ = 331943040. Its totient is φ = 25908480.

The previous prime is 97998479. The next prime is 97998493. The reversal of 97998480 is 8489979.

97998480 is a `hidden beast` number, since 9 + 79 + 98 + 480 = 666.

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

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, 93801 + ... + 94839.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2^97998480 is an apocalyptic number.

97998480 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 97998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165971520).

97998480 is an abundant number, since it is smaller than the sum of its proper divisors (233944560).

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

97998480 is a wasteful number, since it uses less digits than its factorization.

97998480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 97998480 is about 9899.4181647206. The cubic root of 97998480 is about 461.0412455666.

The spelling of 97998480 in words is "ninety-seven million, nine hundred ninety-eight thousand, four hundred eighty".