611319296 has 120 divisors (see below), whose sum is σ = 1448977200. Its totient is φ = 257553408.

The previous prime is 611319253. The next prime is 611319299. The reversal of 611319296 is 692913116.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

611319296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×611319296² = 747422563323871232, which contains 22 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611319299) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10361315 + ... + 10361373.

It is an arithmetic number, because the mean of its divisors is an integer number (12074810).

Almost surely, 2^611319296 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 611319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724488600).

611319296 is an abundant number, since it is smaller than the sum of its proper divisors (837657904).

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

611319296 is an frugal number, since it uses more digits than its factorization.

611319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 68 counting only the distinct ones).

The product of its digits is 17496, while the sum is 38.

The square root of 611319296 is about 24724.8720118022. The cubic root of 611319296 is about 848.7035812641.

The spelling of 611319296 in words is "six hundred eleven million, three hundred nineteen thousand, two hundred ninety-six".