861742224 has 240 divisors, whose sum is σ = 2862912000. Its totient is φ = 241823232.

The previous prime is 861742199. The next prime is 861742243. The reversal of 861742224 is 422247168.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3605497 + ... + 3605735.

It is an arithmetic number, because the mean of its divisors is an integer number (11928800).

Almost surely, 2^861742224 is an apocalyptic number.

861742224 is a gapful number since it is divisible by the number (84) 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 861742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431456000).

861742224 is an abundant number, since it is smaller than the sum of its proper divisors (2001169776).

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

861742224 is a wasteful number, since it uses less digits than its factorization.

861742224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 861742224 is about 29355.4462408596. The cubic root of 861742224 is about 951.6102787742.

The spelling of 861742224 in words is "eight hundred sixty-one million, seven hundred forty-two thousand, two hundred twenty-four".