616633400 has 96 divisors (see below), whose sum is σ = 1489428480. Its totient is φ = 237168000.

The previous prime is 616633397. The next prime is 616633411. The reversal of 616633400 is 4336616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680017 + ... + 1680383.

It is an arithmetic number, because the mean of its divisors is an integer number (15514880).

Almost surely, 2^616633400 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 616633400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744714240).

616633400 is an abundant number, since it is smaller than the sum of its proper divisors (872795080).

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

616633400 is a wasteful number, since it uses less digits than its factorization.

616633400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 616633400 is about 24832.1042201421. The cubic root of 616633400 is about 851.1557058977.

The spelling of 616633400 in words is "six hundred sixteen million, six hundred thirty-three thousand, four hundred".