1167553872 has 40 divisors (see below), whose sum is σ = 3351313280. Its totient is φ = 389184480.

The previous prime is 1167553861. The next prime is 1167553883. The reversal of 1167553872 is 2783557611.

It is a happy number.

1167553872 is a `hidden beast` number, since 1 + 16 + 7 + 553 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1167553861) and next prime (1167553883).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1350904 + ... + 1351767.

It is an arithmetic number, because the mean of its divisors is an integer number (83782832).

Almost surely, 2^1167553872 is an apocalyptic number.

1167553872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1167553872 is an abundant number, since it is smaller than the sum of its proper divisors (2183759408).

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

1167553872 is a wasteful number, since it uses less digits than its factorization.

1167553872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702688 (or 2702676 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 1167553872 is about 34169.4874412830. The cubic root of 1167553872 is about 1052.9933847524.

The spelling of 1167553872 in words is "one billion, one hundred sixty-seven million, five hundred fifty-three thousand, eight hundred seventy-two".