869609520 has 560 divisors, whose sum is σ = 3460945152. Its totient is φ = 201553920.

The previous prime is 869609501. The next prime is 869609527. The reversal of 869609520 is 25906968.

869609520 is a `hidden beast` number, since 8 + 69 + 60 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869609527) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 23502942 + ... + 23502978.

Almost surely, 2^869609520 is an apocalyptic number.

869609520 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 869609520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730472576).

869609520 is an abundant number, since it is smaller than the sum of its proper divisors (2591335632).

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

869609520 is a wasteful number, since it uses less digits than its factorization.

869609520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 869609520 is about 29489.1424086900. The cubic root of 869609520 is about 954.4974266002.

The spelling of 869609520 in words is "eight hundred sixty-nine million, six hundred nine thousand, five hundred twenty".