1022825664 has 112 divisors (see below), whose sum is σ = 3436518400. Its totient is φ = 292232448.

The previous prime is 1022825633. The next prime is 1022825677. The reversal of 1022825664 is 4665282201.

It is a happy number.

1022825664 is a `hidden beast` number, since 10 + 2 + 2 + 82 + 566 + 4 = 666.

1022825664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30184 + ... + 54375.

It is an arithmetic number, because the mean of its divisors is an integer number (30683200).

Almost surely, 2^1022825664 is an apocalyptic number.

1022825664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1022825664 is an abundant number, since it is smaller than the sum of its proper divisors (2413692736).

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

1022825664 is an equidigital number, since it uses as much as digits as its factorization.

1022825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84587 (or 84571 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1022825664 is about 31981.6457362657. The cubic root of 1022825664 is about 1007.5513876754.

The spelling of 1022825664 in words is "one billion, twenty-two million, eight hundred twenty-five thousand, six hundred sixty-four".