1257680016 has 30 divisors (see below), whose sum is σ = 3519757670. Its totient is φ = 419226624.

The previous prime is 1257679999. The next prime is 1257680029. The reversal of 1257680016 is 6100867521.

1257680016 is a `hidden beast` number, since 1 + 2 + 576 + 80 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 671846400 + 585833616 = 25920^2 + 24204^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4366801 + ... + 4367088.

Almost surely, 2^1257680016 is an apocalyptic number.

1257680016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1257680016 is an abundant number, since it is smaller than the sum of its proper divisors (2262077654).

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

1257680016 is a wasteful number, since it uses less digits than its factorization.

1257680016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733903 (or 8733894 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1257680016 is about 35463.7845696141. The cubic root of 1257680016 is about 1079.4189878981.

The spelling of 1257680016 in words is "one billion, two hundred fifty-seven million, six hundred eighty thousand, sixteen".