869971200 has 216 divisors, whose sum is σ = 3281748288. Its totient is φ = 198819840.

The previous prime is 869971189. The next prime is 869971211. The reversal of 869971200 is 2179968.

It is an interprime number because it is at equal distance from previous prime (869971189) and next prime (869971211).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131164 + ... + 137636.

Almost surely, 2^869971200 is an apocalyptic number.

869971200 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 869971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640874144).

869971200 is an abundant number, since it is smaller than the sum of its proper divisors (2411777088).

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

869971200 is a wasteful number, since it uses less digits than its factorization.

869971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 869971200 is about 29495.2741977423. The cubic root of 869971200 is about 954.6297368582.

The spelling of 869971200 in words is "eight hundred sixty-nine million, nine hundred seventy-one thousand, two hundred".