1022680890 has 320 divisors, whose sum is σ = 3613040640. Its totient is φ = 201087360.

The previous prime is 1022680877. The next prime is 1022680907. The reversal of 1022680890 is 980862201.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1184599 + ... + 1185461.

It is an arithmetic number, because the mean of its divisors is an integer number (11290752).

Almost surely, 2^1022680890 is an apocalyptic number.

1022680890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022680890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806520320).

1022680890 is an abundant number, since it is smaller than the sum of its proper divisors (2590359750).

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

1022680890 is a wasteful number, since it uses less digits than its factorization.

1022680890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1022680890 is about 31979.3822642027. The cubic root of 1022680890 is about 1007.5038480890.

The spelling of 1022680890 in words is "one billion, twenty-two million, six hundred eighty thousand, eight hundred ninety".