611360720 has 60 divisors (see below), whose sum is σ = 1500233220. Its totient is φ = 231662592.

The previous prime is 611360707. The next prime is 611360753. The reversal of 611360720 is 27063116.

It can be written as a sum of positive squares in 2 ways, for example, as 446392384 + 164968336 = 21128^2 + 12844^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 611360720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18296 + ... + 39464.

It is an arithmetic number, because the mean of its divisors is an integer number (25003887).

Almost surely, 2^611360720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611360720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750116610).

611360720 is an abundant number, since it is smaller than the sum of its proper divisors (888872500).

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

611360720 is a wasteful number, since it uses less digits than its factorization.

611360720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21220 (or 21195 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 611360720 is about 24725.7096965891. The cubic root of 611360720 is about 848.7227506809.

The spelling of 611360720 in words is "six hundred eleven million, three hundred sixty thousand, seven hundred twenty".