1137810960 has 480 divisors, whose sum is σ = 4611454848. Its totient is φ = 247726080.

The previous prime is 1137810931. The next prime is 1137810983. The reversal of 1137810960 is 690187311.

It is a super-2 number, since 2×1137810960² = 2589227561392243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4427152 + ... + 4427408.

Almost surely, 2^1137810960 is an apocalyptic number.

1137810960 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 1137810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305727424).

1137810960 is an abundant number, since it is smaller than the sum of its proper divisors (3473643888).

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

1137810960 is a wasteful number, since it uses less digits than its factorization.

1137810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1137810960 is about 33731.4535708143. The cubic root of 1137810960 is about 1043.9748529637.

The spelling of 1137810960 in words is "one billion, one hundred thirty-seven million, eight hundred ten thousand, nine hundred sixty".