55598400 has 504 divisors, whose sum is σ = 240755424. Its totient is φ = 12441600.

The previous prime is 55598399. The next prime is 55598443. The reversal of 55598400 is 489555.

It is a happy number.

It is a super-3 number, since 3×55598400³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4276794 + ... + 4276806.

It is a vampire number, since it can be written as 5850 ⋅ 9504 (with its own digits).

Almost surely, 2^55598400 is an apocalyptic number.

55598400 is a gapful number since it is divisible by the number (50) 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 55598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

55598400 is an abundant number, since it is smaller than the sum of its proper divisors (185157024).

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

55598400 is a wasteful number, since it uses less digits than its factorization.

55598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55598400 is about 7456.4334637949. The cubic root of 55598400 is about 381.6694782713.

The spelling of 55598400 in words is "fifty-five million, five hundred ninety-eight thousand, four hundred".