839129952 has 96 divisors (see below), whose sum is σ = 2242162944. Its totient is φ = 274752000.

The previous prime is 839129933. The next prime is 839129957. The reversal of 839129952 is 259921938.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (839129957) 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, 1550802 + ... + 1551342.

It is an arithmetic number, because the mean of its divisors is an integer number (23355864).

Almost surely, 2^839129952 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 839129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121081472).

839129952 is an abundant number, since it is smaller than the sum of its proper divisors (1403032992).

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

839129952 is a wasteful number, since it uses less digits than its factorization.

839129952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 839129952 is about 28967.7398497018. The cubic root of 839129952 is about 943.2129200175.

The spelling of 839129952 in words is "eight hundred thirty-nine million, one hundred twenty-nine thousand, nine hundred fifty-two".