36827460 has 120 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 9688896.

The previous prime is 36827459. The next prime is 36827467. The reversal of 36827460 is 6472863.

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 (36827467) 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 39 ways as a sum of consecutive naturals, for example, 205651 + ... + 205829.

It is an arithmetic number, because the mean of its divisors is an integer number (975744).

Almost surely, 2^36827460 is an apocalyptic number.

36827460 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 36827460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

36827460 is an abundant number, since it is smaller than the sum of its proper divisors (80261820).

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

36827460 is a wasteful number, since it uses less digits than its factorization.

36827460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36827460 is about 6068.5632566531. The cubic root of 36827460 is about 332.7034125716.

The spelling of 36827460 in words is "thirty-six million, eight hundred twenty-seven thousand, four hundred sixty".