97854480 has 100 divisors (see below), whose sum is σ = 339885612. Its totient is φ = 26092800.

The previous prime is 97854433. The next prime is 97854527. The reversal of 97854480 is 8445879.

97854480 is a `hidden beast` number, since 97 + 85 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (97854433) and next prime (97854527).

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 75272976 = 4752^2 + 8676^2 .

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 19 ways as a sum of consecutive naturals, for example, 1071 + ... + 14030.

Almost surely, 2^97854480 is an apocalyptic number.

97854480 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 97854480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169942806).

97854480 is an abundant number, since it is smaller than the sum of its proper divisors (242031132).

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

97854480 is a wasteful number, since it uses less digits than its factorization.

97854480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15126 (or 15111 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 97854480 is about 9892.1423362182. The cubic root of 97854480 is about 460.8153152462.

The spelling of 97854480 in words is "ninety-seven million, eight hundred fifty-four thousand, four hundred eighty".