613986480 has 200 divisors, whose sum is σ = 2185422624. Its totient is φ = 159667200.

The previous prime is 613986431. The next prime is 613986493. The reversal of 613986480 is 84689316.

613986480 is a `hidden beast` number, since 61 + 39 + 86 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 264525 + ... + 266835.

Almost surely, 2^613986480 is an apocalyptic number.

613986480 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 613986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092711312).

613986480 is an abundant number, since it is smaller than the sum of its proper divisors (1571436144).

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

613986480 is a wasteful number, since it uses less digits than its factorization.

613986480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 613986480 is about 24778.7505738284. The cubic root of 613986480 is about 849.9360874667.

The spelling of 613986480 in words is "six hundred thirteen million, nine hundred eighty-six thousand, four hundred eighty".