36148480 has 72 divisors (see below), whose sum is σ = 89478144. Its totient is φ = 13977600.

The previous prime is 36148459. The next prime is 36148487. The reversal of 36148480 is 8484163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36148487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39225 + ... + 40135.

It is an arithmetic number, because the mean of its divisors is an integer number (1242752).

Almost surely, 2^36148480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44739072).

36148480 is an abundant number, since it is smaller than the sum of its proper divisors (53329664).

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

36148480 is an equidigital number, since it uses as much as digits as its factorization.

36148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 36148480 is about 6012.3606012946. The cubic root of 36148480 is about 330.6460560630.

It can be divided in two parts, 361 and 48480, that added together give a square (48841 = 221²).

The spelling of 36148480 in words is "thirty-six million, one hundred forty-eight thousand, four hundred eighty".