598400640 has 96 divisors (see below), whose sum is σ = 2066372100. Its totient is φ = 159571968.

The previous prime is 598400623. The next prime is 598400689. The reversal of 598400640 is 46004895.

598400640 is a `hidden beast` number, since 5 + 9 + 8 + 4 + 0 + 0 + 640 = 666.

598400640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 598095936 + 304704 = 24456^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 598400595 and 598400604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46185 + ... + 57704.

Almost surely, 2^598400640 is an apocalyptic number.

It is an amenable number.

598400640 is an abundant number, since it is smaller than the sum of its proper divisors (1467971460).

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

598400640 is a wasteful number, since it uses less digits than its factorization.

598400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103914 (or 103899 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 598400640 is about 24462.2288436684. The cubic root of 598400640 is about 842.6825803934.

The spelling of 598400640 in words is "five hundred ninety-eight million, four hundred thousand, six hundred forty".