902781990 has 128 divisors (see below), whose sum is σ = 2687731200. Its totient is φ = 213736320.

The previous prime is 902781983. The next prime is 902782003. The reversal of 902781990 is 99187209.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124176 + ... + 131244.

It is an arithmetic number, because the mean of its divisors is an integer number (20997900).

Almost surely, 2^902781990 is an apocalyptic number.

902781990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 902781990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343865600).

902781990 is an abundant number, since it is smaller than the sum of its proper divisors (1784949210).

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

902781990 is a wasteful number, since it uses less digits than its factorization.

902781990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 902781990 is about 30046.3307243996. The cubic root of 902781990 is about 966.4831694241.

The spelling of 902781990 in words is "nine hundred two million, seven hundred eighty-one thousand, nine hundred ninety".