613662720 has 240 divisors, whose sum is σ = 2151612288. Its totient is φ = 148111360.

The previous prime is 613662713. The next prime is 613662733. The reversal of 613662720 is 27266316.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2703247 + ... + 2703473.

Almost surely, 2^613662720 is an apocalyptic number.

613662720 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 613662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075806144).

613662720 is an abundant number, since it is smaller than the sum of its proper divisors (1537949568).

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

613662720 is a wasteful number, since it uses less digits than its factorization.

613662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 613662720 is about 24772.2166953222. The cubic root of 613662720 is about 849.7866684929.

The spelling of 613662720 in words is "six hundred thirteen million, six hundred sixty-two thousand, seven hundred twenty".