1151631360 has 384 divisors, whose sum is σ = 4416534720. Its totient is φ = 275251200.

The previous prime is 1151631353. The next prime is 1151631379. The reversal of 1151631360 is 631361511.

1151631360 is a `hidden beast` number, since 11 + 516 + 3 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16220125 + ... + 16220195.

Almost surely, 2^1151631360 is an apocalyptic number.

1151631360 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 1151631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208267360).

1151631360 is an abundant number, since it is smaller than the sum of its proper divisors (3264903360).

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

1151631360 is an equidigital number, since it uses as much as digits as its factorization.

1151631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1151631360 is about 33935.6944823588. The cubic root of 1151631360 is about 1048.1847274547.

Adding to 1151631360 its reverse (631361511), we get a palindrome (1782992871).

The spelling of 1151631360 in words is "one billion, one hundred fifty-one million, six hundred thirty-one thousand, three hundred sixty".