1157894760 has 128 divisors (see below), whose sum is σ = 3797798400. Its totient is φ = 280085760.

The previous prime is 1157894753. The next prime is 1157894779. The reversal of 1157894760 is 674987511.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974887 + ... + 976073.

It is an arithmetic number, because the mean of its divisors is an integer number (29670300).

Almost surely, 2^1157894760 is an apocalyptic number.

1157894760 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 1157894760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898899200).

1157894760 is an abundant number, since it is smaller than the sum of its proper divisors (2639903640).

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

1157894760 is a wasteful number, since it uses less digits than its factorization.

1157894760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The square root of 1157894760 is about 34027.8527092146. The cubic root of 1157894760 is about 1050.0815537562.

The spelling of 1157894760 in words is "one billion, one hundred fifty-seven million, eight hundred ninety-four thousand, seven hundred sixty".