1157582496 has 192 divisors, whose sum is σ = 3715310592. Its totient is φ = 308047872.

The previous prime is 1157582483. The next prime is 1157582533. The reversal of 1157582496 is 6942857511.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221895 + ... + 1222841.

It is an arithmetic number, because the mean of its divisors is an integer number (19350576).

Almost surely, 2^1157582496 is an apocalyptic number.

1157582496 is a gapful number since it is divisible by the number (16) 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 1157582496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857655296).

1157582496 is an abundant number, since it is smaller than the sum of its proper divisors (2557728096).

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

1157582496 is a wasteful number, since it uses less digits than its factorization.

1157582496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1083 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 1157582496 is about 34023.2640409470. The cubic root of 1157582496 is about 1049.9871490491.

The spelling of 1157582496 in words is "one billion, one hundred fifty-seven million, five hundred eighty-two thousand, four hundred ninety-six".