33768990 has 48 divisors (see below), whose sum is σ = 89253216. Its totient is φ = 8856000.

The previous prime is 33768979. The next prime is 33769007. The reversal of 33768990 is 9986733.

It is a happy number.

It is a super-2 number, since 2×33768990² = 2280689371240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2415 + ... + 8565.

It is an arithmetic number, because the mean of its divisors is an integer number (1859442).

Almost surely, 2^33768990 is an apocalyptic number.

33768990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33768990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44626608).

33768990 is an abundant number, since it is smaller than the sum of its proper divisors (55484226).

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

33768990 is a wasteful number, since it uses less digits than its factorization.

33768990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 33768990 is about 5811.1091884424. The cubic root of 33768990 is about 323.2258035696.

The spelling of 33768990 in words is "thirty-three million, seven hundred sixty-eight thousand, nine hundred ninety".