1166155920 has 160 divisors (see below), whose sum is σ = 4038432000. Its totient is φ = 309298176.

The previous prime is 1166155909. The next prime is 1166155931. The reversal of 1166155920 is 295516611.

1166155920 is a `hidden beast` number, since 1 + 1 + 6 + 61 + 5 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1166155909) and next prime (1166155931).

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 31 ways as a sum of consecutive naturals, for example, 428484 + ... + 431196.

It is an arithmetic number, because the mean of its divisors is an integer number (25240200).

Almost surely, 2^1166155920 is an apocalyptic number.

1166155920 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 1166155920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019216000).

1166155920 is an abundant number, since it is smaller than the sum of its proper divisors (2872276080).

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

1166155920 is a wasteful number, since it uses less digits than its factorization.

1166155920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1166155920 is about 34149.0251691026. The cubic root of 1166155920 is about 1052.5729553001.

The spelling of 1166155920 in words is "one billion, one hundred sixty-six million, one hundred fifty-five thousand, nine hundred twenty".