869606400 has 396 divisors, whose sum is σ = 3158635632. Its totient is φ = 210862080.

The previous prime is 869606399. The next prime is 869606401. The reversal of 869606400 is 4606968.

It is an interprime number because it is at equal distance from previous prime (869606399) and next prime (869606401).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (869606401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12979167 + ... + 12979233.

Almost surely, 2^869606400 is an apocalyptic number.

869606400 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 869606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579317816).

869606400 is an abundant number, since it is smaller than the sum of its proper divisors (2289029232).

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

869606400 is a wasteful number, since it uses less digits than its factorization.

869606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 869606400 is about 29489.0895078163. The cubic root of 869606400 is about 954.4962850781.

The spelling of 869606400 in words is "eight hundred sixty-nine million, six hundred six thousand, four hundred".