36661248 has 240 divisors, whose sum is σ = 124864740. Its totient is φ = 10616832.

The previous prime is 36661237. The next prime is 36661253. The reversal of 36661248 is 84216663.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 82944 = 6048^2 + 288^2 .

It is a super-3 number, since 3×36661248³ (a number of 24 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (41472) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156536 + ... + 2156552.

Almost surely, 2^36661248 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 36661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62432370).

36661248 is an abundant number, since it is smaller than the sum of its proper divisors (88203492).

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

36661248 is a wasteful number, since it uses less digits than its factorization.

36661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 36661248 is about 6054.8532599890. The cubic root of 36661248 is about 332.2021317134.

The spelling of 36661248 in words is "thirty-six million, six hundred sixty-one thousand, two hundred forty-eight".