1162969920 has 672 divisors, whose sum is σ = 4961900160. Its totient is φ = 255467520.

The previous prime is 1162969909. The next prime is 1162969921. The reversal of 1162969920 is 299692611.

1162969920 is a `hidden beast` number, since 11 + 629 + 6 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1162969921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17357727 + ... + 17357793.

It is an arithmetic number, because the mean of its divisors is an integer number (7383780).

Almost surely, 2^1162969920 is an apocalyptic number.

1162969920 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 1162969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480950080).

1162969920 is an abundant number, since it is smaller than the sum of its proper divisors (3798930240).

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

1162969920 is a wasteful number, since it uses less digits than its factorization.

1162969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1162969920 is about 34102.3447874189. The cubic root of 1162969920 is about 1051.6135192591.

The spelling of 1162969920 in words is "one billion, one hundred sixty-two million, nine hundred sixty-nine thousand, nine hundred twenty".