613538880 has 112 divisors (see below), whose sum is σ = 2050572480. Its totient is φ = 154994688.

The previous prime is 613538879. The next prime is 613538909. The reversal of 613538880 is 88835316.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422 + ... + 35058.

Almost surely, 2^613538880 is an apocalyptic number.

613538880 is a gapful number since it is divisible by the number (60) 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 613538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025286240).

613538880 is an abundant number, since it is smaller than the sum of its proper divisors (1437033600).

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

613538880 is a wasteful number, since it uses less digits than its factorization.

613538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33676 (or 33666 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 613538880 is about 24769.7169947499. The cubic root of 613538880 is about 849.7295010090.

The spelling of 613538880 in words is "six hundred thirteen million, five hundred thirty-eight thousand, eight hundred eighty".