816292890 has 192 divisors, whose sum is σ = 2585366784. Its totient is φ = 181398528.

The previous prime is 816292889. The next prime is 816292891. The reversal of 816292890 is 98292618.

It is an interprime number because it is at equal distance from previous prime (816292889) and next prime (816292891).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (816292891) by changing a digit.

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, 628722 + ... + 630018.

It is an arithmetic number, because the mean of its divisors is an integer number (13465452).

Almost surely, 2^816292890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816292890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292683392).

816292890 is an abundant number, since it is smaller than the sum of its proper divisors (1769073894).

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

816292890 is a wasteful number, since it uses less digits than its factorization.

816292890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 816292890 is about 28570.8398546490. The cubic root of 816292890 is about 934.5775360847.

The spelling of 816292890 in words is "eight hundred sixteen million, two hundred ninety-two thousand, eight hundred ninety".