861062400 has 540 divisors, whose sum is σ = 3496172064. Its totient is φ = 207360000.

The previous prime is 861062233. The next prime is 861062429. The reversal of 861062400 is 4260168.

861062400 is a `hidden beast` number, since 8 + 610 + 6 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5702325 + ... + 5702475.

Almost surely, 2^861062400 is an apocalyptic number.

861062400 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 861062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748086032).

861062400 is an abundant number, since it is smaller than the sum of its proper divisors (2635109664).

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

861062400 is a wasteful number, since it uses less digits than its factorization.

861062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 861062400 is about 29343.8647761334. The cubic root of 861062400 is about 951.3599727925.

The spelling of 861062400 in words is "eight hundred sixty-one million, sixty-two thousand, four hundred".