1162681920 has 168 divisors, whose sum is σ = 4137339960. Its totient is φ = 299335680.

The previous prime is 1162681903. The next prime is 1162681943. The reversal of 1162681920 is 291862611.

1162681920 is a `hidden beast` number, since 1 + 1 + 626 + 8 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 1002102336 = 12672^2 + 31656^2 .

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 23 ways as a sum of consecutive naturals, for example, 76560 + ... + 90480.

Almost surely, 2^1162681920 is an apocalyptic number.

1162681920 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 1162681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068669980).

1162681920 is an abundant number, since it is smaller than the sum of its proper divisors (2974658040).

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

1162681920 is a wasteful number, since it uses less digits than its factorization.

1162681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13973 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1162681920 is about 34098.1219424179. The cubic root of 1162681920 is about 1051.5267042600.

The spelling of 1162681920 in words is "one billion, one hundred sixty-two million, six hundred eighty-one thousand, nine hundred twenty".