1039296960 has 448 divisors, whose sum is σ = 4164787200. Its totient is φ = 241864704.

The previous prime is 1039296953. The next prime is 1039296967. The reversal of 1039296960 is 696929301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1039296953) and next prime (1039296967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1039296967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2133837 + ... + 2134323.

It is an arithmetic number, because the mean of its divisors is an integer number (9296400).

Almost surely, 2^1039296960 is an apocalyptic number.

1039296960 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 1039296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082393600).

1039296960 is an abundant number, since it is smaller than the sum of its proper divisors (3125490240).

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

1039296960 is a wasteful number, since it uses less digits than its factorization.

1039296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 1039296960 is about 32238.1289779664. The cubic root of 1039296960 is about 1012.9310537719.

It can be divided in two parts, 103929 and 6960, that added together give a square (110889 = 333²).

The spelling of 1039296960 in words is "one billion, thirty-nine million, two hundred ninety-six thousand, nine hundred sixty".