1137680 has 20 divisors (see below), whose sum is σ = 2645292. Its totient is φ = 455040.

The previous prime is 1137677. The next prime is 1137707. The reversal of 1137680 is 867311.

It can be written as a sum of positive squares in 2 ways, for example, as 595984 + 541696 = 772^2 + 736^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7031 + ... + 7190.

2^1137680 is an apocalyptic number.

1137680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1137680 is an abundant number, since it is smaller than the sum of its proper divisors (1507612).

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

1137680 is a wasteful number, since it uses less digits than its factorization.

1137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14234 (or 14228 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1137680 is about 1066.6208323486. The cubic root of 1137680 is about 104.3934798216.

The spelling of 1137680 in words is "one million, one hundred thirty-seven thousand, six hundred eighty".