1157312640 has 256 divisors, whose sum is σ = 4135847040. Its totient is φ = 272793600.

The previous prime is 1157312579. The next prime is 1157312687. The reversal of 1157312640 is 462137511.

It is a super-3 number, since 3×1157312640³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1157312598 and 1157312607.

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, 780700 + ... + 782180.

Almost surely, 2^1157312640 is an apocalyptic number.

1157312640 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 1157312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067923520).

1157312640 is an abundant number, since it is smaller than the sum of its proper divisors (2978534400).

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

1157312640 is a wasteful number, since it uses less digits than its factorization.

1157312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1157312640 is about 34019.2980527230. The cubic root of 1157312640 is about 1049.9055515952.

The spelling of 1157312640 in words is "one billion, one hundred fifty-seven million, three hundred twelve thousand, six hundred forty".