616140264 has 64 divisors (see below), whose sum is σ = 1623628800. Its totient is φ = 194544896.

The previous prime is 616140263. The next prime is 616140269. The reversal of 616140264 is 462041616.

616140264 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-3 number, since 3×616140264³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (616140263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28537 + ... + 45239.

It is an arithmetic number, because the mean of its divisors is an integer number (25369200).

Almost surely, 2^616140264 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 616140264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811814400).

616140264 is an abundant number, since it is smaller than the sum of its proper divisors (1007488536).

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

616140264 is a wasteful number, since it uses less digits than its factorization.

616140264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16794 (or 16790 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 616140264 is about 24822.1728299519. The cubic root of 616140264 is about 850.9287490810.

The spelling of 616140264 in words is "six hundred sixteen million, one hundred forty thousand, two hundred sixty-four".