1157685984 has 288 divisors, whose sum is σ = 4091802624. Its totient is φ = 302330880.

The previous prime is 1157685967. The next prime is 1157686039. The reversal of 1157685984 is 4895867511.

It is a happy number.

1157685984 is a `hidden beast` number, since 11 + 576 + 8 + 59 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1157685984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4271769 + ... + 4272039.

It is an arithmetic number, because the mean of its divisors is an integer number (14207648).

Almost surely, 2^1157685984 is an apocalyptic number.

1157685984 is a gapful number since it is divisible by the number (14) 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 1157685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045901312).

1157685984 is an abundant number, since it is smaller than the sum of its proper divisors (2934116640).

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

1157685984 is a wasteful number, since it uses less digits than its factorization.

1157685984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The square root of 1157685984 is about 34024.7848486952. The cubic root of 1157685984 is about 1050.0184377715.

The spelling of 1157685984 in words is "one billion, one hundred fifty-seven million, six hundred eighty-five thousand, nine hundred eighty-four".