1164056616 has 64 divisors (see below), whose sum is σ = 3248942400. Its totient is φ = 386164800.

The previous prime is 1164056609. The next prime is 1164056629. The reversal of 1164056616 is 6166504611.

It is a happy number.

1164056616 is a `hidden beast` number, since 1 + 1 + 640 + 5 + 6 + 6 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 32806 + ... + 58346.

It is an arithmetic number, because the mean of its divisors is an integer number (50764725).

Almost surely, 2^1164056616 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 1164056616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624471200).

1164056616 is an abundant number, since it is smaller than the sum of its proper divisors (2084885784).

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

1164056616 is a wasteful number, since it uses less digits than its factorization.

1164056616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25767 (or 25757 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1164056616 is about 34118.2739305493. The cubic root of 1164056616 is about 1051.9409649437.

The spelling of 1164056616 in words is "one billion, one hundred sixty-four million, fifty-six thousand, six hundred sixteen".