36913248 has 72 divisors (see below), whose sum is σ = 106594488. Its totient is φ = 12114432.

The previous prime is 36913241. The next prime is 36913271. The reversal of 36913248 is 84231963.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36913241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18340 + ... + 20252.

It is an arithmetic number, because the mean of its divisors is an integer number (1480479).

Almost surely, 2^36913248 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 36913248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53297244).

36913248 is an abundant number, since it is smaller than the sum of its proper divisors (69681240).

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

36913248 is a wasteful number, since it uses less digits than its factorization.

36913248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1985 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 36913248 is about 6075.6273750124. The cubic root of 36913248 is about 332.9615517117.

The spelling of 36913248 in words is "thirty-six million, nine hundred thirteen thousand, two hundred forty-eight".