611790264 has 96 divisors (see below), whose sum is σ = 1760616000. Its totient is φ = 191552256.

The previous prime is 611790259. The next prime is 611790269. The reversal of 611790264 is 462097116.

It is an interprime number because it is at equal distance from previous prime (611790259) and next prime (611790269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611790269) 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, 73297 + ... + 81215.

It is an arithmetic number, because the mean of its divisors is an integer number (18339750).

Almost surely, 2^611790264 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 611790264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880308000).

611790264 is an abundant number, since it is smaller than the sum of its proper divisors (1148825736).

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

611790264 is a wasteful number, since it uses less digits than its factorization.

611790264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7997 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 611790264 is about 24734.3943528035. The cubic root of 611790264 is about 848.9214759208.

The spelling of 611790264 in words is "six hundred eleven million, seven hundred ninety thousand, two hundred sixty-four".