869051520 has 288 divisors, whose sum is σ = 3120621660. Its totient is φ = 222842880.

The previous prime is 869051461. The next prime is 869051549. The reversal of 869051520 is 25150968.

It is a happy number.

869051520 is a `hidden beast` number, since 86 + 9 + 0 + 51 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 841928256 + 27123264 = 29016^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5535282 + ... + 5535438.

Almost surely, 2^869051520 is an apocalyptic number.

869051520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560310830).

869051520 is an abundant number, since it is smaller than the sum of its proper divisors (2251570140).

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

869051520 is a wasteful number, since it uses less digits than its factorization.

869051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 869051520 is about 29479.6797811645. The cubic root of 869051520 is about 954.2932263196.

The spelling of 869051520 in words is "eight hundred sixty-nine million, fifty-one thousand, five hundred twenty".