33792864 has 48 divisors (see below), whose sum is σ = 101380608. Its totient is φ = 9654912.

The previous prime is 33792839. The next prime is 33792893. The reversal of 33792864 is 46829733.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33792864² = 2283915314644992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24472 + ... + 25815.

It is an arithmetic number, because the mean of its divisors is an integer number (2112096).

Almost surely, 2^33792864 is an apocalyptic number.

It is an amenable number.

33792864 is an abundant number, since it is smaller than the sum of its proper divisors (67587744).

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

33792864 is a wasteful number, since it uses less digits than its factorization.

33792864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50307 (or 50299 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 33792864 is about 5813.1629944463. The cubic root of 33792864 is about 323.3019570172.

The spelling of 33792864 in words is "thirty-three million, seven hundred ninety-two thousand, eight hundred sixty-four".