1157117670 has 128 divisors (see below), whose sum is σ = 3266496000. Its totient is φ = 290666880.

The previous prime is 1157117657. The next prime is 1157117707. The reversal of 1157117670 is 767117511.

1157117670 is a `hidden beast` number, since 1 + 1 + 571 + 17 + 6 + 70 = 666.

1157117670 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081896 + ... + 1082964.

It is an arithmetic number, because the mean of its divisors is an integer number (25519500).

Almost surely, 2^1157117670 is an apocalyptic number.

1157117670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157117670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633248000).

1157117670 is an abundant number, since it is smaller than the sum of its proper divisors (2109378330).

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

1157117670 is a wasteful number, since it uses less digits than its factorization.

1157117670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 36.

The square root of 1157117670 is about 34016.4323526145. The cubic root of 1157117670 is about 1049.8465898320.

It can be divided in two parts, 11571 and 17670, that added together give a square (29241 = 171²).

The spelling of 1157117670 in words is "one billion, one hundred fifty-seven million, one hundred seventeen thousand, six hundred seventy".