1658630160 has 480 divisors, whose sum is σ = 6551580672. Its totient is φ = 371589120.

The previous prime is 1658630131. The next prime is 1658630161. The reversal of 1658630160 is 610368561.

It is a happy number.

1658630160 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 630 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1658630161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13060017 + ... + 13060143.

Almost surely, 2^1658630160 is an apocalyptic number.

1658630160 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 1658630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275790336).

1658630160 is an abundant number, since it is smaller than the sum of its proper divisors (4892950512).

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

1658630160 is a wasteful number, since it uses less digits than its factorization.

1658630160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1658630160 is about 40726.2834051918. The cubic root of 1658630160 is about 1183.7223638345.

The spelling of 1658630160 in words is "one billion, six hundred fifty-eight million, six hundred thirty thousand, one hundred sixty".