36658240 has 56 divisors (see below), whose sum is σ = 88267032. Its totient is φ = 14499840.

The previous prime is 36658229. The next prime is 36658249. The reversal of 36658240 is 4285663.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9784384 + 26873856 = 3128^2 + 5184^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36658196 and 36658205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36658249) 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 7 ways as a sum of consecutive naturals, for example, 30450 + ... + 31630.

It is an arithmetic number, because the mean of its divisors is an integer number (1576197).

Almost surely, 2^36658240 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 36658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44133516).

36658240 is an abundant number, since it is smaller than the sum of its proper divisors (51608792).

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

36658240 is a wasteful number, since it uses less digits than its factorization.

36658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 36658240 is about 6054.6048591134. The cubic root of 36658240 is about 332.1930459040.

The spelling of 36658240 in words is "thirty-six million, six hundred fifty-eight thousand, two hundred forty".