1610890164 has 144 divisors (see below), whose sum is σ = 4615600080. Its totient is φ = 470292480.

The previous prime is 1610890163. The next prime is 1610890187. The reversal of 1610890164 is 4610980161.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 423536400 + 1187353764 = 20580^2 + 34458^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1610890163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708822 + ... + 711090.

Almost surely, 2^1610890164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610890164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307800040).

1610890164 is an abundant number, since it is smaller than the sum of its proper divisors (3004709916).

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

1610890164 is a wasteful number, since it uses less digits than its factorization.

1610890164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1610890164 is about 40135.8962027759. The cubic root of 1610890164 is about 1172.2546835924.

The spelling of 1610890164 in words is "one billion, six hundred ten million, eight hundred ninety thousand, one hundred sixty-four".