8361144 has 192 divisors, whose sum is σ = 28304640. Its totient is φ = 2280960.

The previous prime is 8361139. The next prime is 8361151. The reversal of 8361144 is 4411638.

8361144 = T₁₂₀ + T₁₂₁ + ... + T₃₇₂.

8361144 is a `hidden beast` number, since 8 + 3 + 611 + 44 = 666.

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

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

Its product of digits (2304) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363517 + ... + 363539.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^8361144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8361144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8361144 is an abundant number, since it is smaller than the sum of its proper divisors (19943496).

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

8361144 is a wasteful number, since it uses less digits than its factorization.

8361144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

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

The square root of 8361144 is about 2891.5642825294. The cubic root of 8361144 is about 202.9653495502.

The spelling of 8361144 in words is "eight million, three hundred sixty-one thousand, one hundred forty-four".