1610480000 has 160 divisors (see below), whose sum is σ = 4115338920. Its totient is φ = 627200000.

The previous prime is 1610479999. The next prime is 1610480063. The reversal of 1610480000 is 840161.

1610480000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3279755 + ... + 3280245.

Almost surely, 2^1610480000 is an apocalyptic number.

1610480000 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 1610480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057669460).

1610480000 is an abundant number, since it is smaller than the sum of its proper divisors (2504858920).

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

1610480000 is an frugal number, since it uses more digits than its factorization.

1610480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1610480000 is about 40130.7861871656. The cubic root of 1610480000 is about 1172.1551821914.

The spelling of 1610480000 in words is "one billion, six hundred ten million, four hundred eighty thousand".