36132480 has 320 divisors, whose sum is σ = 139958280. Its totient is φ = 8847360.

The previous prime is 36132469. The next prime is 36132491. The reversal of 36132480 is 8423163.

It is a happy number.

36132480 is a `hidden beast` number, since 3 + 613 + 2 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36132469) and next prime (36132491).

It can be written as a sum of positive squares in 4 ways, for example, as 24681024 + 11451456 = 4968^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×36132480² = 2611112221900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881260 + ... + 881300.

Almost surely, 2^36132480 is an apocalyptic number.

36132480 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 36132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69979140).

36132480 is an abundant number, since it is smaller than the sum of its proper divisors (103825800).

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

36132480 is a wasteful number, since it uses less digits than its factorization.

36132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36132480 is about 6011.0298618456. The cubic root of 36132480 is about 330.5972654673.

The spelling of 36132480 in words is "thirty-six million, one hundred thirty-two thousand, four hundred eighty".