1157916672 has 144 divisors (see below), whose sum is σ = 3648939840. Its totient is φ = 350822400.

The previous prime is 1157916659. The next prime is 1157916673. The reversal of 1157916672 is 2766197511.

1157916672 is a `hidden beast` number, since 1 + 1 + 579 + 1 + 6 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1157916673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199897 + ... + 205607.

It is an arithmetic number, because the mean of its divisors is an integer number (25339860).

Almost surely, 2^1157916672 is an apocalyptic number.

1157916672 is a gapful number since it is divisible by the number (12) 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 1157916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824469920).

1157916672 is an abundant number, since it is smaller than the sum of its proper divisors (2491023168).

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

1157916672 is a wasteful number, since it uses less digits than its factorization.

1157916672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5727 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 1157916672 is about 34028.1746792272. The cubic root of 1157916672 is about 1050.0881776288.

The spelling of 1157916672 in words is "one billion, one hundred fifty-seven million, nine hundred sixteen thousand, six hundred seventy-two".