611956608 has 128 divisors (see below), whose sum is σ = 1696464000. Its totient is φ = 195213312.

The previous prime is 611956601. The next prime is 611956621. The reversal of 611956608 is 806659116.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 611956608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611956601) 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, 1993191 + ... + 1993497.

It is an arithmetic number, because the mean of its divisors is an integer number (13253625).

Almost surely, 2^611956608 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 611956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848232000).

611956608 is an abundant number, since it is smaller than the sum of its proper divisors (1084507392).

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

611956608 is a wasteful number, since it uses less digits than its factorization.

611956608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 611956608 is about 24737.7567293399. The cubic root of 611956608 is about 848.9984087118.

The spelling of 611956608 in words is "six hundred eleven million, nine hundred fifty-six thousand, six hundred eight".