36827280 has 120 divisors (see below), whose sum is σ = 141365952. Its totient is φ = 8416512.

The previous prime is 36827261. The next prime is 36827291. The reversal of 36827280 is 8272863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 1387 + ... + 8693.

Almost surely, 2^36827280 is an apocalyptic number.

36827280 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 36827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70682976).

36827280 is an abundant number, since it is smaller than the sum of its proper divisors (104538672).

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

36827280 is a wasteful number, since it uses less digits than its factorization.

36827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36827280 is about 6068.5484261065. The cubic root of 36827280 is about 332.7028705240.

The spelling of 36827280 in words is "thirty-six million, eight hundred twenty-seven thousand, two hundred eighty".