861190400 has 216 divisors, whose sum is σ = 2494007040. Its totient is φ = 288276480.

The previous prime is 861190399. The next prime is 861190423. The reversal of 861190400 is 4091168.

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, 2105396 + ... + 2105804.

Almost surely, 2^861190400 is an apocalyptic number.

861190400 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 861190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247003520).

861190400 is an abundant number, since it is smaller than the sum of its proper divisors (1632816640).

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

861190400 is a wasteful number, since it uses less digits than its factorization.

861190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 861190400 is about 29346.0457302172. The cubic root of 861190400 is about 951.4071114756.

The spelling of 861190400 in words is "eight hundred sixty-one million, one hundred ninety thousand, four hundred".