1032838560 has 384 divisors, whose sum is σ = 3977890560. Its totient is φ = 248721408.

The previous prime is 1032838531. The next prime is 1032838589. The reversal of 1032838560 is 658382301.

1032838560 is a `hidden beast` number, since 10 + 3 + 2 + 83 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1032838531) and next prime (1032838589).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2976307 + ... + 2976653.

It is an arithmetic number, because the mean of its divisors is an integer number (10359090).

Almost surely, 2^1032838560 is an apocalyptic number.

1032838560 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 1032838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988945280).

1032838560 is an abundant number, since it is smaller than the sum of its proper divisors (2945052000).

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

1032838560 is a wasteful number, since it uses less digits than its factorization.

1032838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1032838560 is about 32137.8057745080. The cubic root of 1032838560 is about 1010.8285068679.

The spelling of 1032838560 in words is "one billion, thirty-two million, eight hundred thirty-eight thousand, five hundred sixty".