1082138400 has 576 divisors, whose sum is σ = 4747196160. Its totient is φ = 232243200.

The previous prime is 1082138399. The next prime is 1082138413. The reversal of 1082138400 is 48312801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570190 + ... + 2570610.

It is an arithmetic number, because the mean of its divisors is an integer number (8241660).

Almost surely, 2^1082138400 is an apocalyptic number.

1082138400 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 1082138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373598080).

1082138400 is an abundant number, since it is smaller than the sum of its proper divisors (3665057760).

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

1082138400 is a wasteful number, since it uses less digits than its factorization.

1082138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1082138400 is about 32895.8720814634. The cubic root of 1082138400 is about 1026.6622720526.

The spelling of 1082138400 in words is "one billion, eighty-two million, one hundred thirty-eight thousand, four hundred".