1022825160 has 192 divisors, whose sum is σ = 3921914880. Its totient is φ = 226229760.

The previous prime is 1022825131. The next prime is 1022825161. The reversal of 1022825160 is 615282201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1022825161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71574 + ... + 84666.

It is an arithmetic number, because the mean of its divisors is an integer number (20426640).

Almost surely, 2^1022825160 is an apocalyptic number.

1022825160 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 1022825160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960957440).

1022825160 is an abundant number, since it is smaller than the sum of its proper divisors (2899089720).

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

1022825160 is a wasteful number, since it uses less digits than its factorization.

1022825160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1022825160 is about 31981.6378567452. The cubic root of 1022825160 is about 1007.5512221842.

The spelling of 1022825160 in words is "one billion, twenty-two million, eight hundred twenty-five thousand, one hundred sixty".