33676140 has 72 divisors (see below), whose sum is σ = 98664048. Its totient is φ = 8581760.

The previous prime is 33676109. The next prime is 33676157. The reversal of 33676140 is 4167633.

It is a super-2 number, since 2×33676140² = 2268164810599200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33676098 and 33676107.

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, 31210 + ... + 32270.

It is an arithmetic number, because the mean of its divisors is an integer number (1370334).

Almost surely, 2^33676140 is an apocalyptic number.

33676140 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 33676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49332024).

33676140 is an abundant number, since it is smaller than the sum of its proper divisors (64987908).

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

33676140 is a wasteful number, since it uses less digits than its factorization.

33676140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 33676140 is about 5803.1146809278. The cubic root of 33676140 is about 322.9292882938.

The spelling of 33676140 in words is "thirty-three million, six hundred seventy-six thousand, one hundred forty".