33766740 has 96 divisors (see below), whose sum is σ = 120072960. Its totient is φ = 7717248.

The previous prime is 33766723. The next prime is 33766741. The reversal of 33766740 is 4766733.

It is a super-2 number, since 2×33766740² = 2280385460455200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33766695 and 33766704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33766741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687 + ... + 8246.

It is an arithmetic number, because the mean of its divisors is an integer number (1250760).

Almost surely, 2^33766740 is an apocalyptic number.

33766740 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 33766740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60036480).

33766740 is an abundant number, since it is smaller than the sum of its proper divisors (86306220).

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

33766740 is a wasteful number, since it uses less digits than its factorization.

33766740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 33766740 is about 5810.9155905072. The cubic root of 33766740 is about 323.2186246538.

The spelling of 33766740 in words is "thirty-three million, seven hundred sixty-six thousand, seven hundred forty".