1039680144 has 160 divisors (see below), whose sum is σ = 3090496640. Its totient is φ = 334430208.

The previous prime is 1039680127. The next prime is 1039680167. The reversal of 1039680144 is 4410869301.

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 = 1039680099 and 1039680108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801584 + ... + 1802160.

It is an arithmetic number, because the mean of its divisors is an integer number (19315604).

Almost surely, 2^1039680144 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 1039680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545248320).

1039680144 is an abundant number, since it is smaller than the sum of its proper divisors (2050816496).

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

1039680144 is a wasteful number, since it uses less digits than its factorization.

1039680144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1039680144 is about 32244.0714550753. The cubic root of 1039680144 is about 1013.0555261463.

The spelling of 1039680144 in words is "one billion, thirty-nine million, six hundred eighty thousand, one hundred forty-four".