33078240 has 384 divisors, whose sum is σ = 135475200. Its totient is φ = 7464960.

The previous prime is 33078233. The next prime is 33078263. The reversal of 33078240 is 4287033.

It is a super-2 number, since 2×33078240² = 2188339922995200, which contains 22 as substring.

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, 1067025 + ... + 1067055.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^33078240 is an apocalyptic number.

33078240 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 33078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

33078240 is an abundant number, since it is smaller than the sum of its proper divisors (102396960).

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

33078240 is a wasteful number, since it uses less digits than its factorization.

33078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

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

The square root of 33078240 is about 5751.3685327929. The cubic root of 33078240 is about 321.0067253373.

The spelling of 33078240 in words is "thirty-three million, seventy-eight thousand, two hundred forty".