869177952 has 336 divisors, whose sum is σ = 2825973360. Its totient is φ = 262020096.

The previous prime is 869177873. The next prime is 869177977. The reversal of 869177952 is 259771968.

869177952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16399558 + ... + 16399610.

It is an arithmetic number, because the mean of its divisors is an integer number (8410635).

Almost surely, 2^869177952 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 869177952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412986680).

869177952 is an abundant number, since it is smaller than the sum of its proper divisors (1956795408).

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

869177952 is a wasteful number, since it uses less digits than its factorization.

869177952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 869177952 is about 29481.8240955338. The cubic root of 869177952 is about 954.3395018080.

The spelling of 869177952 in words is "eight hundred sixty-nine million, one hundred seventy-seven thousand, nine hundred fifty-two".