1254628656 has 80 divisors (see below), whose sum is σ = 3757854720. Its totient is φ = 400023360.

The previous prime is 1254628631. The next prime is 1254628699. The reversal of 1254628656 is 6568264521.

1254628656 is a `hidden beast` number, since 12 + 5 + 4 + 628 + 6 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53200 + ... + 73071.

It is an arithmetic number, because the mean of its divisors is an integer number (46973184).

Almost surely, 2^1254628656 is an apocalyptic number.

1254628656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1254628656 is an abundant number, since it is smaller than the sum of its proper divisors (2503226064).

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

1254628656 is a wasteful number, since it uses less digits than its factorization.

1254628656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126311 (or 126299 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1254628656 is about 35420.7376546565. The cubic root of 1254628656 is about 1078.5453254989.

The spelling of 1254628656 in words is "one billion, two hundred fifty-four million, six hundred twenty-eight thousand, six hundred fifty-six".