36215280 has 120 divisors (see below), whose sum is σ = 122737680. Its totient is φ = 9569280.

The previous prime is 36215251. The next prime is 36215281. The reversal of 36215280 is 8251263.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36215281) 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 23 ways as a sum of consecutive naturals, for example, 128740 + ... + 129020.

It is an arithmetic number, because the mean of its divisors is an integer number (1022814).

Almost surely, 2^36215280 is an apocalyptic number.

36215280 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 36215280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61368840).

36215280 is an abundant number, since it is smaller than the sum of its proper divisors (86522400).

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

36215280 is a wasteful number, since it uses less digits than its factorization.

36215280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 36215280 is about 6017.9132595942. The cubic root of 36215280 is about 330.8496014154.

The spelling of 36215280 in words is "thirty-six million, two hundred fifteen thousand, two hundred eighty".