9020256840 has 384 divisors, whose sum is σ = 36805017600. Its totient is φ = 1868106240.

The previous prime is 9020256811. The next prime is 9020256851. The reversal of 9020256840 is 486520209.

It is a happy number.

9020256840 is a `hidden beast` number, since 90 + 2 + 0 + 2 + 568 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9020256795 and 9020256804.

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 95 ways as a sum of consecutive naturals, for example, 1097145 + ... + 1105335.

It is an arithmetic number, because the mean of its divisors is an integer number (95846400).

Almost surely, 2^9020256840 is an apocalyptic number.

9020256840 is a gapful number since it is divisible by the number (90) 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 9020256840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18402508800).

9020256840 is an abundant number, since it is smaller than the sum of its proper divisors (27784760760).

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

9020256840 is a wasteful number, since it uses less digits than its factorization.

9020256840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9020256840 is about 94975.0327191310. The cubic root of 9020256840 is about 2081.6432434979.

The spelling of 9020256840 in words is "nine billion, twenty million, two hundred fifty-six thousand, eight hundred forty".