616959252 has 144 divisors (see below), whose sum is σ = 1943410560. Its totient is φ = 160683264.

The previous prime is 616959247. The next prime is 616959373. The reversal of 616959252 is 252959616.

It is a happy number.

616959252 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 592 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 616959198 and 616959207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270774 + ... + 273042.

Almost surely, 2^616959252 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 616959252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971705280).

616959252 is an abundant number, since it is smaller than the sum of its proper divisors (1326451308).

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

616959252 is a wasteful number, since it uses less digits than its factorization.

616959252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2377 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 616959252 is about 24838.6644568503. The cubic root of 616959252 is about 851.3056069298.

The spelling of 616959252 in words is "six hundred sixteen million, nine hundred fifty-nine thousand, two hundred fifty-two".