1254761640 has 96 divisors (see below), whose sum is σ = 4448714400. Its totient is φ = 304183680.

The previous prime is 1254761633. The next prime is 1254761699. The reversal of 1254761640 is 461674521.

1254761640 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 7 + 6 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1254761595 and 1254761604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154470 + ... + 162389.

It is an arithmetic number, because the mean of its divisors is an integer number (46340775).

Almost surely, 2^1254761640 is an apocalyptic number.

1254761640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1254761640 is an abundant number, since it is smaller than the sum of its proper divisors (3193952760).

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

1254761640 is a wasteful number, since it uses less digits than its factorization.

1254761640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316887 (or 316880 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1254761640 is about 35422.6148103157. The cubic root of 1254761640 is about 1078.5834308521.

The spelling of 1254761640 in words is "one billion, two hundred fifty-four million, seven hundred sixty-one thousand, six hundred forty".