1156617864 has 96 divisors (see below), whose sum is σ = 3181464000. Its totient is φ = 379566720.

The previous prime is 1156617863. The next prime is 1156617883. The reversal of 1156617864 is 4687166511.

1156617864 is a `hidden beast` number, since 1 + 1 + 566 + 1 + 7 + 86 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1156617863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404957 + ... + 1405779.

It is an arithmetic number, because the mean of its divisors is an integer number (33140250).

Almost surely, 2^1156617864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156617864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590732000).

1156617864 is an abundant number, since it is smaller than the sum of its proper divisors (2024846136).

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

1156617864 is a wasteful number, since it uses less digits than its factorization.

1156617864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1156617864 is about 34009.0850215057. The cubic root of 1156617864 is about 1049.6954109716.

It can be divided in two parts, 1156617 and 864, that added together give a triangular number (1157481 = T₁₅₂₁).

The spelling of 1156617864 in words is "one billion, one hundred fifty-six million, six hundred seventeen thousand, eight hundred sixty-four".