1613210880 has 288 divisors, whose sum is σ = 5365156608. Its totient is φ = 412876800.

The previous prime is 1613210843. The next prime is 1613210899. The reversal of 1613210880 is 880123161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16630992 + ... + 16631088.

It is an arithmetic number, because the mean of its divisors is an integer number (18629016).

Almost surely, 2^1613210880 is an apocalyptic number.

1613210880 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 1613210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682578304).

1613210880 is an abundant number, since it is smaller than the sum of its proper divisors (3751945728).

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

1613210880 is an equidigital number, since it uses as much as digits as its factorization.

1613210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1613210880 is about 40164.7965263114. The cubic root of 1613210880 is about 1172.8173465841.

The spelling of 1613210880 in words is "one billion, six hundred thirteen million, two hundred ten thousand, eight hundred eighty".