869761152 has 256 divisors, whose sum is σ = 2810304000. Its totient is φ = 266499072.

The previous prime is 869761121. The next prime is 869761159. The reversal of 869761152 is 251167968.

It is a junction number, because it is equal to n+sod(n) for n = 869761098 and 869761107.

It is not an unprimeable number, because it can be changed into a prime (869761159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3639049 + ... + 3639287.

It is an arithmetic number, because the mean of its divisors is an integer number (10977750).

Almost surely, 2^869761152 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 869761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405152000).

869761152 is an abundant number, since it is smaller than the sum of its proper divisors (1940542848).

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

869761152 is an equidigital number, since it uses as much as digits as its factorization.

869761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 257 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 869761152 is about 29491.7132767834. The cubic root of 869761152 is about 954.5529012851.

The spelling of 869761152 in words is "eight hundred sixty-nine million, seven hundred sixty-one thousand, one hundred fifty-two".