1610430640 has 160 divisors (see below), whose sum is σ = 4640952960. Its totient is φ = 506068992.

The previous prime is 1610430623. The next prime is 1610430641. The reversal of 1610430640 is 460340161.

It is not an unprimeable number, because it can be changed into a prime (1610430641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142256 + ... + 1143664.

It is an arithmetic number, because the mean of its divisors is an integer number (29005956).

Almost surely, 2^1610430640 is an apocalyptic number.

1610430640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320476480).

1610430640 is an abundant number, since it is smaller than the sum of its proper divisors (3030522320).

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

1610430640 is a wasteful number, since it uses less digits than its factorization.

1610430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1610430640 is about 40130.1711932556. The cubic root of 1610430640 is about 1172.1432068443.

The spelling of 1610430640 in words is "one billion, six hundred ten million, four hundred thirty thousand, six hundred forty".