1049976864 has 96 divisors (see below), whose sum is σ = 3195642240. Its totient is φ = 334768896.

The previous prime is 1049976853. The next prime is 1049976931. The reversal of 1049976864 is 4686799401.

1049976864 is a `hidden beast` number, since 1 + 0 + 499 + 76 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1049976864² = 2204902829870548992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1049976864.

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, 6547 + ... + 46290.

It is an arithmetic number, because the mean of its divisors is an integer number (33287940).

Almost surely, 2^1049976864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049976864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597821120).

1049976864 is an abundant number, since it is smaller than the sum of its proper divisors (2145665376).

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

1049976864 is a wasteful number, since it uses less digits than its factorization.

1049976864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52879 (or 52865 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1049976864 is about 32403.3464938423. The cubic root of 1049976864 is about 1016.3888915708.

The spelling of 1049976864 in words is "one billion, forty-nine million, nine hundred seventy-six thousand, eight hundred sixty-four".