1132640000 has 90 divisors (see below), whose sum is σ = 2825564280. Its totient is φ = 452992000.

The previous prime is 1132639961. The next prime is 1132640023. The reversal of 1132640000 is 462311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156461 + ... + 163539.

Almost surely, 2^1132640000 is an apocalyptic number.

1132640000 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 1132640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412782140).

1132640000 is an abundant number, since it is smaller than the sum of its proper divisors (1692924280).

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

1132640000 is an frugal number, since it uses more digits than its factorization.

1132640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1132640000 is about 33654.7173513610. The cubic root of 1132640000 is about 1042.3909487266.

The spelling of 1132640000 in words is "one billion, one hundred thirty-two million, six hundred forty thousand".