1660125456 has 320 divisors, whose sum is σ = 5563929600. Its totient is φ = 474491520.

The previous prime is 1660125451. The next prime is 1660125517. The reversal of 1660125456 is 6545210661.

1660125456 is a `hidden beast` number, since 1 + 6 + 601 + 2 + 5 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1660125456.

It is not an unprimeable number, because it can be changed into a prime (1660125451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7313215 + ... + 7313441.

It is an arithmetic number, because the mean of its divisors is an integer number (17387280).

Almost surely, 2^1660125456 is an apocalyptic number.

1660125456 is a gapful number since it is divisible by the number (16) 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 1660125456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781964800).

1660125456 is an abundant number, since it is smaller than the sum of its proper divisors (3903804144).

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

1660125456 is a wasteful number, since it uses less digits than its factorization.

1660125456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1660125456 is about 40744.6371440463. The cubic root of 1660125456 is about 1184.0779752944.

The spelling of 1660125456 in words is "one billion, six hundred sixty million, one hundred twenty-five thousand, four hundred fifty-six".