610090000 has 225 divisors, whose sum is σ = 1688063553. Its totient is φ = 213408000.

The previous prime is 610089983. The next prime is 610090001. The reversal of 610090000 is 90016.

The square root of 610090000 is 24700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 602604304 + 7485696 = 24548^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (610090001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32109991 + ... + 32110009.

Almost surely, 2^610090000 is an apocalyptic number.

610090000 is the 24700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610090000

610090000 is an abundant number, since it is smaller than the sum of its proper divisors (1077973553).

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

610090000 is a wasteful number, since it uses less digits than its factorization.

610090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 610090000 is about 848.1343162703.

Adding to 610090000 its sum of digits (16), we get a palindrome (610090016).

Multiplying 610090000 by its sum of digits (16), we get a square (9761440000 = 98800²).

610090000 divided by its sum of digits (16) gives a square (38130625 = 6175²).

It can be divided in two parts, 6100 and 90000, that added together give a square (96100 = 310²).

The spelling of 610090000 in words is "six hundred ten million, ninety thousand".