616006752 has 96 divisors (see below), whose sum is σ = 1708156800. Its totient is φ = 193840128.

The previous prime is 616006751. The next prime is 616006793. The reversal of 616006752 is 257600616.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616006751) 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, 833199 + ... + 833937.

It is an arithmetic number, because the mean of its divisors is an integer number (17793300).

Almost surely, 2^616006752 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 616006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854078400).

616006752 is an abundant number, since it is smaller than the sum of its proper divisors (1092150048).

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

616006752 is a wasteful number, since it uses less digits than its factorization.

616006752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 616006752 is about 24819.4833145253. The cubic root of 616006752 is about 850.8672817968.

The spelling of 616006752 in words is "six hundred sixteen million, six thousand, seven hundred fifty-two".