1076536000 has 112 divisors (see below), whose sum is σ = 2717413920. Its totient is φ = 422323200.

The previous prime is 1076535989. The next prime is 1076536031. The reversal of 1076536000 is 6356701.

It is a self number, because there is not a number n which added to its sum of digits gives 1076536000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422731 + ... + 425269.

Almost surely, 2^1076536000 is an apocalyptic number.

1076536000 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 1076536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358706960).

1076536000 is an abundant number, since it is smaller than the sum of its proper divisors (1640877920).

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

1076536000 is an equidigital number, since it uses as much as digits as its factorization.

1076536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1076536000 is about 32810.6080406932. The cubic root of 1076536000 is about 1024.8874752540.

The spelling of 1076536000 in words is "one billion, seventy-six million, five hundred thirty-six thousand".