33798640 has 80 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 12953600.

The previous prime is 33798617. The next prime is 33798647. The reversal of 33798640 is 4689733.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33798640² = 2284696131699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 33798593 and 33798602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33798647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334590 + ... + 334690.

It is an arithmetic number, because the mean of its divisors is an integer number (1024488).

Almost surely, 2^33798640 is an apocalyptic number.

33798640 is the 4747-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

33798640 is an abundant number, since it is smaller than the sum of its proper divisors (48160400).

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

33798640 is a wasteful number, since it uses less digits than its factorization.

33798640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 33798640 is about 5813.6597767671. The cubic root of 33798640 is about 323.3203759524.

The spelling of 33798640 in words is "thirty-three million, seven hundred ninety-eight thousand, six hundred forty".