97404840 has 144 divisors (see below), whose sum is σ = 343004220. Its totient is φ = 23961600.

The previous prime is 97404787. The next prime is 97404851. The reversal of 97404840 is 4840479.

It can be written as a sum of positive squares in 6 ways, for example, as 39614436 + 57790404 = 6294^2 + 7602^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97404795 and 97404804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60040 + ... + 61640.

Almost surely, 2^97404840 is an apocalyptic number.

97404840 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 97404840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171502110).

97404840 is an abundant number, since it is smaller than the sum of its proper divisors (245599380).

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

97404840 is a wasteful number, since it uses less digits than its factorization.

97404840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 97404840 is about 9869.3890388413. The cubic root of 97404840 is about 460.1084180491.

The spelling of 97404840 in words is "ninety-seven million, four hundred four thousand, eight hundred forty".