84798090 has 80 divisors (see below), whose sum is σ = 245582568. Its totient is φ = 20870784.

The previous prime is 84798071. The next prime is 84798101. The reversal of 84798090 is 9089748.

84798090 = 2548² + 2549² + ... + 2560².

It can be written as a sum of positive squares in 4 ways, for example, as 64304361 + 20493729 = 8019^2 + 4527^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 6504 + ... + 14556.

Almost surely, 2^84798090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84798090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122791284).

84798090 is an abundant number, since it is smaller than the sum of its proper divisors (160784478).

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

84798090 is a wasteful number, since it uses less digits than its factorization.

84798090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 84798090 is about 9208.5878396201. The cubic root of 84798090 is about 439.3345484930.

The spelling of 84798090 in words is "eighty-four million, seven hundred ninety-eight thousand, ninety".