1157660672 has 128 divisors (see below), whose sum is σ = 2726256000. Its totient is φ = 491323392.

The previous prime is 1157660659. The next prime is 1157660681. The reversal of 1157660672 is 2760667511.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11239373 + ... + 11239475.

It is an arithmetic number, because the mean of its divisors is an integer number (21298875).

Almost surely, 2^1157660672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363128000).

1157660672 is an abundant number, since it is smaller than the sum of its proper divisors (1568595328).

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

1157660672 is an frugal number, since it uses more digits than its factorization.

1157660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 1157660672 is about 34024.4128825172. The cubic root of 1157660672 is about 1050.0107850744.

The spelling of 1157660672 in words is "one billion, one hundred fifty-seven million, six hundred sixty thousand, six hundred seventy-two".