36221640 has 256 divisors, whose sum is σ = 139345920. Its totient is φ = 7326720.

The previous prime is 36221639. The next prime is 36221641. The reversal of 36221640 is 4612263.

It is an interprime number because it is at equal distance from previous prime (36221639) and next prime (36221641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36221640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36221641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338467 + ... + 338573.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^36221640 is an apocalyptic number.

36221640 is a gapful number since it is divisible by the number (30) 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 36221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

36221640 is an abundant number, since it is smaller than the sum of its proper divisors (103124280).

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

36221640 is a wasteful number, since it uses less digits than its factorization.

36221640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36221640 is about 6018.4416587685. The cubic root of 36221640 is about 330.8689678292.

The spelling of 36221640 in words is "thirty-six million, two hundred twenty-one thousand, six hundred forty".