1020963840 has 176 divisors, whose sum is σ = 3517368288. Its totient is φ = 251265024.

The previous prime is 1020963833. The next prime is 1020963863. The reversal of 1020963840 is 483690201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197124 + ... + 202236.

Almost surely, 2^1020963840 is an apocalyptic number.

1020963840 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 1020963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758684144).

1020963840 is an abundant number, since it is smaller than the sum of its proper divisors (2496404448).

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

1020963840 is a wasteful number, since it uses less digits than its factorization.

1020963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1020963840 is about 31952.5247828712. The cubic root of 1020963840 is about 1006.9396761586.

The spelling of 1020963840 in words is "one billion, twenty million, nine hundred sixty-three thousand, eight hundred forty".