1039640448 has 192 divisors, whose sum is σ = 3505144320. Its totient is φ = 269982720.

The previous prime is 1039640431. The next prime is 1039640479. The reversal of 1039640448 is 8440469301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1039640448² = 2161704522235281408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204465 + ... + 209487.

It is an arithmetic number, because the mean of its divisors is an integer number (18255960).

Almost surely, 2^1039640448 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 1039640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752572160).

1039640448 is an abundant number, since it is smaller than the sum of its proper divisors (2465503872).

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

1039640448 is a wasteful number, since it uses less digits than its factorization.

1039640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1039640448 is about 32243.4558941811. The cubic root of 1039640448 is about 1013.0426328335.

The spelling of 1039640448 in words is "one billion, thirty-nine million, six hundred forty thousand, four hundred forty-eight".