27334980 has 72 divisors (see below), whose sum is σ = 87803352. Its totient is φ = 6859776.

The previous prime is 27334961. The next prime is 27334981. The reversal of 27334980 is 8943372.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 24265476 = 1752^2 + 4926^2 .

It is a super-2 number, since 2×27334980² = 1494402263200800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27334981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407 + ... + 7526.

It is an arithmetic number, because the mean of its divisors is an integer number (1219491).

Almost surely, 2^27334980 is an apocalyptic number.

27334980 is a gapful number since it is divisible by the number (20) 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 27334980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43901676).

27334980 is an abundant number, since it is smaller than the sum of its proper divisors (60468372).

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

27334980 is a wasteful number, since it uses less digits than its factorization.

27334980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 27334980 is about 5228.2865261957. The cubic root of 27334980 is about 301.2355708957.

It can be divided in two parts, 273 and 34980, that added together give a palindrome (35253).

The spelling of 27334980 in words is "twenty-seven million, three hundred thirty-four thousand, nine hundred eighty".