60598400 has 96 divisors (see below), whose sum is σ = 155096100. Its totient is φ = 23367680.

The previous prime is 60598393. The next prime is 60598457. The reversal of 60598400 is 489506.

It can be written as a sum of positive squares in 6 ways, for example, as 14684224 + 45914176 = 3832^2 + 6776^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 92474 + ... + 93126.

Almost surely, 2^60598400 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 60598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77548050).

60598400 is an abundant number, since it is smaller than the sum of its proper divisors (94497700).

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

60598400 is a wasteful number, since it uses less digits than its factorization.

60598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 60598400 is about 7784.4974147340. The cubic root of 60598400 is about 392.7839372451.

The spelling of 60598400 in words is "sixty million, five hundred ninety-eight thousand, four hundred".