1039879680 has 480 divisors, whose sum is σ = 4105880064. Its totient is φ = 219512832.

The previous prime is 1039879639. The next prime is 1039879691. The reversal of 1039879680 is 869789301.

It is a tau number, because it is divible by the number of its divisors (480).

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, 35857906 + ... + 35857934.

Almost surely, 2^1039879680 is an apocalyptic number.

1039879680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1039879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052940032).

1039879680 is an abundant number, since it is smaller than the sum of its proper divisors (3066000384).

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

1039879680 is an equidigital number, since it uses as much as digits as its factorization.

1039879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 1039879680 is about 32247.1654568274. The cubic root of 1039879680 is about 1013.1203307302.

The spelling of 1039879680 in words is "one billion, thirty-nine million, eight hundred seventy-nine thousand, six hundred eighty".