867629952 has 192 divisors, whose sum is σ = 3021688800. Its totient is φ = 233275392.

The previous prime is 867629941. The next prime is 867629957. The reversal of 867629952 is 259926768.

867629952 is a `hidden beast` number, since 8 + 6 + 7 + 629 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867629957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133924 + ... + 140252.

Almost surely, 2^867629952 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 867629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510844400).

867629952 is an abundant number, since it is smaller than the sum of its proper divisors (2154058848).

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

867629952 is a wasteful number, since it uses less digits than its factorization.

867629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6358 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 867629952 is about 29455.5589320590. The cubic root of 867629952 is about 953.7726077502.

The spelling of 867629952 in words is "eight hundred sixty-seven million, six hundred twenty-nine thousand, nine hundred fifty-two".