33278040 has 80 divisors (see below), whose sum is σ = 111862080. Its totient is φ = 8873280.

The previous prime is 33278023. The next prime is 33278041. The reversal of 33278040 is 4087233.

It is a super-2 number, since 2×33278040² = 2214855892483200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33277995 and 33278013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33278041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1896 + ... + 8375.

It is an arithmetic number, because the mean of its divisors is an integer number (1398276).

Almost surely, 2^33278040 is an apocalyptic number.

33278040 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 33278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55931040).

33278040 is an abundant number, since it is smaller than the sum of its proper divisors (78584040).

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

33278040 is a wasteful number, since it uses less digits than its factorization.

33278040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10294 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33278040 is about 5768.7121613060. The cubic root of 33278040 is about 321.6517459618.

The spelling of 33278040 in words is "thirty-three million, two hundred seventy-eight thousand, forty".