33640000 has 105 divisors (see below), whose sum is σ = 86391877. Its totient is φ = 12992000.

The previous prime is 33639997. The next prime is 33640003. The reversal of 33640000 is 4633.

It is a happy number.

The square root of 33640000 is 5800.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (33639997) and next prime (33640003).

It can be written as a sum of positive squares in 7 ways, for example, as 25160256 + 8479744 = 5016^2 + 2912^2 .

It is a super-2 number, since 2×33640000² = 2263299200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33640003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1159986 + ... + 1160014.

Almost surely, 2^33640000 is an apocalyptic number.

33640000 is the 5800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33640000

33640000 is an abundant number, since it is smaller than the sum of its proper divisors (52751877).

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

33640000 is an frugal number, since it uses more digits than its factorization.

33640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The cubic root of 33640000 is about 322.8137283176.

Multiplying 33640000 by its sum of digits (16), we get a square (538240000 = 23200²).

33640000 divided by its sum of digits (16) gives a square (2102500 = 1450²).

Adding to 33640000 its reverse (4633), we get a palindrome (33644633).

The spelling of 33640000 in words is "thirty-three million, six hundred forty thousand".