33107940 has 120 divisors (see below), whose sum is σ = 105380352. Its totient is φ = 8700480.

The previous prime is 33107929. The next prime is 33107941. The reversal of 33107940 is 4970133.

It is a super-2 number, since 2×33107940² = 2192271382087200, which contains 22 as substring.

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 (33107941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173245 + ... + 173435.

Almost surely, 2^33107940 is an apocalyptic number.

33107940 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 33107940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

33107940 is an abundant number, since it is smaller than the sum of its proper divisors (72272412).

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

33107940 is a wasteful number, since it uses less digits than its factorization.

33107940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 33107940 is about 5753.9499476447. The cubic root of 33107940 is about 321.1027708319.

The spelling of 33107940 in words is "thirty-three million, one hundred seven thousand, nine hundred forty".