36168048 has 120 divisors (see below), whose sum is σ = 118037088. Its totient is φ = 10123776.

The previous prime is 36168043. The next prime is 36168049. The reversal of 36168048 is 84086163.

It is a happy number.

It is a super-2 number, since 2×36168048² = 2616255392260608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36168043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53086 + ... + 53762.

Almost surely, 2^36168048 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 36168048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59018544).

36168048 is an abundant number, since it is smaller than the sum of its proper divisors (81869040).

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

36168048 is a wasteful number, since it uses less digits than its factorization.

36168048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36168048 is about 6013.9876953649. The cubic root of 36168048 is about 330.7057073947.

It can be divided in two parts, 3616 and 8048, that added together give a square (11664 = 108²).

The spelling of 36168048 in words is "thirty-six million, one hundred sixty-eight thousand, forty-eight".