33806640 has 80 divisors (see below), whose sum is σ = 119778048. Its totient is φ = 7726848.

The previous prime is 33806629. The next prime is 33806687. The reversal of 33806640 is 4660833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33806640² = 2285777816179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33806598 and 33806607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8382 + ... + 11741.

Almost surely, 2^33806640 is an apocalyptic number.

33806640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33806640 is an abundant number, since it is smaller than the sum of its proper divisors (85971408).

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

33806640 is a wasteful number, since it uses less digits than its factorization.

33806640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20146 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 33806640 is about 5814.3477708166. The cubic root of 33806640 is about 323.3458834774.

The spelling of 33806640 in words is "thirty-three million, eight hundred six thousand, six hundred forty".