1157488640 has 224 divisors, whose sum is σ = 3472671744. Its totient is φ = 359792640.

The previous prime is 1157488627. The next prime is 1157488691. The reversal of 1157488640 is 468847511.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1157488591 and 1157488600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3153737 + ... + 3154103.

Almost surely, 2^1157488640 is an apocalyptic number.

1157488640 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 1157488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736335872).

1157488640 is an abundant number, since it is smaller than the sum of its proper divisors (2315183104).

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

1157488640 is an equidigital number, since it uses as much as digits as its factorization.

1157488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 1157488640 is about 34021.8847214554. The cubic root of 1157488640 is about 1049.9587708679.

The spelling of 1157488640 in words is "one billion, one hundred fifty-seven million, four hundred eighty-eight thousand, six hundred forty".