1082068400 has 120 divisors (see below), whose sum is σ = 3013449984. Its totient is φ = 365702400.

The previous prime is 1082068381. The next prime is 1082068409. The reversal of 1082068400 is 48602801.

It is not an unprimeable number, because it can be changed into a prime (1082068409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196079 + ... + 201521.

Almost surely, 2^1082068400 is an apocalyptic number.

1082068400 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 1082068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506724992).

1082068400 is an abundant number, since it is smaller than the sum of its proper divisors (1931381584).

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

1082068400 is a wasteful number, since it uses less digits than its factorization.

1082068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1082068400 is about 32894.8081009754. The cubic root of 1082068400 is about 1026.6401344317.

The spelling of 1082068400 in words is "one billion, eighty-two million, sixty-eight thousand, four hundred".