616825940 has 48 divisors (see below), whose sum is σ = 1349066880. Its totient is φ = 236611200.

The previous prime is 616825939. The next prime is 616825949. The reversal of 616825940 is 49528616.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616825949) 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, 84059 + ... + 91101.

It is an arithmetic number, because the mean of its divisors is an integer number (28105560).

Almost surely, 2^616825940 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 616825940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674533440).

616825940 is an abundant number, since it is smaller than the sum of its proper divisors (732240940).

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

616825940 is a wasteful number, since it uses less digits than its factorization.

616825940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 616825940 is about 24835.9807537371. The cubic root of 616825940 is about 851.2442860630.

The spelling of 616825940 in words is "six hundred sixteen million, eight hundred twenty-five thousand, nine hundred forty".