613887408 has 120 divisors (see below), whose sum is σ = 1849363776. Its totient is φ = 189388800.

The previous prime is 613887403. The next prime is 613887413. The reversal of 613887408 is 804788316.

It is an interprime number because it is at equal distance from previous prime (613887403) and next prime (613887413).

It is not an unprimeable number, because it can be changed into a prime (613887401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147273 + ... + 151383.

Almost surely, 2^613887408 is an apocalyptic number.

613887408 is a gapful number since it is divisible by the number (68) 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 613887408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924681888).

613887408 is an abundant number, since it is smaller than the sum of its proper divisors (1235476368).

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

613887408 is a wasteful number, since it uses less digits than its factorization.

613887408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 613887408 is about 24776.7513609028. The cubic root of 613887408 is about 849.8903701747.

The spelling of 613887408 in words is "six hundred thirteen million, eight hundred eighty-seven thousand, four hundred eight".