36225666 has 48 divisors (see below), whose sum is σ = 83809440. Its totient is φ = 11275200.

The previous prime is 36225661. The next prime is 36225671. The reversal of 36225666 is 66652263.

It is an interprime number because it is at equal distance from previous prime (36225661) and next prime (36225671).

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 self number, because there is not a number n which added to its sum of digits gives 36225666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36225661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24241 + ... + 25691.

It is an arithmetic number, because the mean of its divisors is an integer number (1746030).

Almost surely, 2^36225666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36225666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41904720).

36225666 is an abundant number, since it is smaller than the sum of its proper divisors (47583774).

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

36225666 is a wasteful number, since it uses less digits than its factorization.

36225666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1548 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 36225666 is about 6018.7761214386. The cubic root of 36225666 is about 330.8812259629.

The spelling of 36225666 in words is "thirty-six million, two hundred twenty-five thousand, six hundred sixty-six".