33416040 has 96 divisors (see below), whose sum is σ = 116635680. Its totient is φ = 7636608.

The previous prime is 33416011. The next prime is 33416063. The reversal of 33416040 is 4061433.

It is a super-2 number, since 2×33416040² = 2233263458563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33415998 and 33416016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3039 + ... + 8721.

It is an arithmetic number, because the mean of its divisors is an integer number (1214955).

Almost surely, 2^33416040 is an apocalyptic number.

33416040 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 33416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58317840).

33416040 is an abundant number, since it is smaller than the sum of its proper divisors (83219640).

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

33416040 is a wasteful number, since it uses less digits than its factorization.

33416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33416040 is about 5780.6608618738. The cubic root of 33416040 is about 322.0957497230.

Adding to 33416040 its reverse (4061433), we get a palindrome (37477473).

The spelling of 33416040 in words is "thirty-three million, four hundred sixteen thousand, forty".