1022648640 has 112 divisors (see below), whose sum is σ = 3496714368. Its totient is φ = 251725824.

The previous prime is 1022648629. The next prime is 1022648681. The reversal of 1022648640 is 468462201.

It is a congruent number.

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, 28492 + ... + 53451.

It is an arithmetic number, because the mean of its divisors is an integer number (31220664).

Almost surely, 2^1022648640 is an apocalyptic number.

1022648640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022648640 is an abundant number, since it is smaller than the sum of its proper divisors (2474065728).

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

1022648640 is a wasteful number, since it uses less digits than its factorization.

1022648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81976 (or 81966 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1022648640 is about 31978.8780290991. The cubic root of 1022648640 is about 1007.4932575124.

The spelling of 1022648640 in words is "one billion, twenty-two million, six hundred forty-eight thousand, six hundred forty".