616053456 has 90 divisors (see below), whose sum is σ = 1755238290. Its totient is φ = 201706368.

The previous prime is 616053443. The next prime is 616053533. The reversal of 616053456 is 654350616.

616053456 is a `hidden beast` number, since 6 + 1 + 605 + 3 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 614048400 + 2005056 = 24780^2 + 1416^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 616053456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 500650 + ... + 501878.

Almost surely, 2^616053456 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 616053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877619145).

616053456 is an abundant number, since it is smaller than the sum of its proper divisors (1139184834).

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

616053456 is a wasteful number, since it uses less digits than its factorization.

616053456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 616053456 is about 24820.4241704287. The cubic root of 616053456 is about 850.8887847544. Note that the first 3 decimals are identical.

The spelling of 616053456 in words is "six hundred sixteen million, fifty-three thousand, four hundred fifty-six".