33054480 has 100 divisors (see below), whose sum is σ = 114825612. Its totient is φ = 8812800.

The previous prime is 33054479. The next prime is 33054481. The reversal of 33054480 is 8445033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33054479) and next prime (33054481).

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 29550096 = 1872^2 + 5436^2 .

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

It is not an unprimeable number, because it can be changed into a prime (33054481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3930 + ... + 9030.

Almost surely, 2^33054480 is an apocalyptic number.

33054480 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 33054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57412806).

33054480 is an abundant number, since it is smaller than the sum of its proper divisors (81771132).

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

33054480 is a wasteful number, since it uses less digits than its factorization.

33054480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33054480 is about 5749.3025663988. The cubic root of 33054480 is about 320.9298475399.

The spelling of 33054480 in words is "thirty-three million, fifty-four thousand, four hundred eighty".