1022645520 has 320 divisors, whose sum is σ = 3849753600. Its totient is φ = 248002560.

The previous prime is 1022645509. The next prime is 1022645549. The reversal of 1022645520 is 255462201.

1022645520 is a `hidden beast` number, since 10 + 2 + 2 + 645 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2218090 + ... + 2218550.

It is an arithmetic number, because the mean of its divisors is an integer number (12030480).

Almost surely, 2^1022645520 is an apocalyptic number.

1022645520 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 1022645520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924876800).

1022645520 is an abundant number, since it is smaller than the sum of its proper divisors (2827108080).

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

1022645520 is a wasteful number, since it uses less digits than its factorization.

1022645520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1022645520 is about 31978.8292468627. The cubic root of 1022645520 is about 1007.4922329239.

It can be divided in two parts, 1022645 and 520, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 1022645520 in words is "one billion, twenty-two million, six hundred forty-five thousand, five hundred twenty".