1108598400 has 960 divisors, whose sum is σ = 5142170880. Its totient is φ = 228925440.

The previous prime is 1108598333. The next prime is 1108598411. The reversal of 1108598400 is 48958011.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 23587177 + ... + 23587223.

It is an arithmetic number, because the mean of its divisors is an integer number (5356428).

Almost surely, 2^1108598400 is an apocalyptic number.

1108598400 is a gapful number since it is divisible by the number (10) 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 1108598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571085440).

1108598400 is an abundant number, since it is smaller than the sum of its proper divisors (4033572480).

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

1108598400 is a wasteful number, since it uses less digits than its factorization.

1108598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1108598400 is about 33295.6213337430. The cubic root of 1108598400 is about 1034.9628216009.

The spelling of 1108598400 in words is "one billion, one hundred eight million, five hundred ninety-eight thousand, four hundred".