1039793664 has 320 divisors, whose sum is σ = 3508775424. Its totient is φ = 266305536.

The previous prime is 1039793653. The next prime is 1039793717. The reversal of 1039793664 is 4663979301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 6010282 + ... + 6010454.

Almost surely, 2^1039793664 is an apocalyptic number.

1039793664 is a gapful number since it is divisible by the number (14) 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 1039793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754387712).

1039793664 is an abundant number, since it is smaller than the sum of its proper divisors (2468981760).

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

1039793664 is a wasteful number, since it uses less digits than its factorization.

1039793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 1039793664 is about 32245.8317306284. The cubic root of 1039793664 is about 1013.0923957799.

The spelling of 1039793664 in words is "one billion, thirty-nine million, seven hundred ninety-three thousand, six hundred sixty-four".