1152567360 has 896 divisors, whose sum is σ = 5266944000. Its totient is φ = 230916096.

The previous prime is 1152567349. The next prime is 1152567371. The reversal of 1152567360 is 637652511.

1152567360 is a `hidden beast` number, since 1 + 1 + 525 + 6 + 73 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1152567349) and next prime (1152567371).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19535011 + ... + 19535069.

Almost surely, 2^1152567360 is an apocalyptic number.

1152567360 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 1152567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633472000).

1152567360 is an abundant number, since it is smaller than the sum of its proper divisors (4114376640).

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

1152567360 is a wasteful number, since it uses less digits than its factorization.

1152567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1152567360 is about 33949.4824702822. The cubic root of 1152567360 is about 1048.4686247905.

The spelling of 1152567360 in words is "one billion, one hundred fifty-two million, five hundred sixty-seven thousand, three hundred sixty".