617645952 has 384 divisors, whose sum is σ = 2300793600. Its totient is φ = 159667200.

The previous prime is 617645947. The next prime is 617645981. The reversal of 617645952 is 259546716.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 617645898 and 617645907.

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, 2927127 + ... + 2927337.

It is an arithmetic number, because the mean of its divisors is an integer number (5991650).

Almost surely, 2^617645952 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 617645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150396800).

617645952 is an abundant number, since it is smaller than the sum of its proper divisors (1683147648).

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

617645952 is a wasteful number, since it uses less digits than its factorization.

617645952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 617645952 is about 24852.4838195300. The cubic root of 617645952 is about 851.6213354004.

The spelling of 617645952 in words is "six hundred seventeen million, six hundred forty-five thousand, nine hundred fifty-two".