1679051264 has 160 divisors (see below), whose sum is σ = 3865466880. Its totient is φ = 721612800.

The previous prime is 1679051249. The next prime is 1679051273. The reversal of 1679051264 is 4621509761.

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, 10300847 + ... + 10301009.

It is an arithmetic number, because the mean of its divisors is an integer number (24159168).

Almost surely, 2^1679051264 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 1679051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932733440).

1679051264 is an abundant number, since it is smaller than the sum of its proper divisors (2186415616).

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

1679051264 is a wasteful number, since it uses less digits than its factorization.

1679051264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 1679051264 is about 40976.2280352889. The cubic root of 1679051264 is about 1188.5605701319.

The spelling of 1679051264 in words is "one billion, six hundred seventy-nine million, fifty-one thousand, two hundred sixty-four".