33966000 has 320 divisors, whose sum is σ = 132312960. Its totient is φ = 8294400.

The previous prime is 33965993. The next prime is 33966011. The reversal of 33966000 is 66933.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917982 + ... + 918018.

It is an arithmetic number, because the mean of its divisors is an integer number (413478).

Almost surely, 2^33966000 is an apocalyptic number.

33966000 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 33966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66156480).

33966000 is an abundant number, since it is smaller than the sum of its proper divisors (98346960).

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

33966000 is a wasteful number, since it uses less digits than its factorization.

33966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 33966000 is about 5828.0356896642. The cubic root of 33966000 is about 323.8531570520.

The spelling of 33966000 in words is "thirty-three million, nine hundred sixty-six thousand".