33146040 has 64 divisors (see below), whose sum is σ = 101878560. Its totient is φ = 8622080.

The previous prime is 33146033. The next prime is 33146063. The reversal of 33146040 is 4064133.

It is a junction number, because it is equal to n+sod(n) for n = 33145998 and 33146016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552 + ... + 8288.

Almost surely, 2^33146040 is an apocalyptic number.

33146040 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 33146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50939280).

33146040 is an abundant number, since it is smaller than the sum of its proper divisors (68732520).

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

33146040 is a wasteful number, since it uses less digits than its factorization.

33146040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6788 counting only the distinct ones).

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

The square root of 33146040 is about 5757.2597648534. The cubic root of 33146040 is about 321.2258966407.

The spelling of 33146040 in words is "thirty-three million, one hundred forty-six thousand, forty".