1079685504 has 384 divisors, whose sum is σ = 3607372800. Its totient is φ = 317104128.

The previous prime is 1079685473. The next prime is 1079685517. The reversal of 1079685504 is 4055869701.

1079685504 is a `hidden beast` number, since 1 + 0 + 7 + 96 + 8 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1079685504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22972009 + ... + 22972055.

It is an arithmetic number, because the mean of its divisors is an integer number (9394200).

Almost surely, 2^1079685504 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 1079685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803686400).

1079685504 is an abundant number, since it is smaller than the sum of its proper divisors (2527687296).

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

1079685504 is a wasteful number, since it uses less digits than its factorization.

1079685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1079685504 is about 32858.5681976558. The cubic root of 1079685504 is about 1025.8859693385.

The spelling of 1079685504 in words is "one billion, seventy-nine million, six hundred eighty-five thousand, five hundred four".