616825440 has 288 divisors, whose sum is σ = 2624783616. Its totient is φ = 128148480.

The previous prime is 616825423. The next prime is 616825463. The reversal of 616825440 is 44528616.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 616825395 and 616825404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108099 + ... + 113661.

It is an arithmetic number, because the mean of its divisors is an integer number (9113832).

Almost surely, 2^616825440 is an apocalyptic number.

616825440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312391808).

616825440 is an abundant number, since it is smaller than the sum of its proper divisors (2007958176).

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

616825440 is a wasteful number, since it uses less digits than its factorization.

616825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 616825440 is about 24835.9706876941. The cubic root of 616825440 is about 851.2440560564.

The spelling of 616825440 in words is "six hundred sixteen million, eight hundred twenty-five thousand, four hundred forty".