33269040 has 360 divisors, whose sum is σ = 138928608. Its totient is φ = 7096320.

The previous prime is 33269029. The next prime is 33269069. The reversal of 33269040 is 4096233.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×33269040² = 2213658045043200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33268995 and 33269013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811420 + ... + 811460.

Almost surely, 2^33269040 is an apocalyptic number.

33269040 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 33269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

33269040 is an abundant number, since it is smaller than the sum of its proper divisors (105659568).

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

33269040 is a wasteful number, since it uses less digits than its factorization.

33269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33269040 is about 5767.9320384346. The cubic root of 33269040 is about 321.6227465904.

The spelling of 33269040 in words is "thirty-three million, two hundred sixty-nine thousand, forty".