36248000 has 112 divisors (see below), whose sum is σ = 94146624. Its totient is φ = 13798400.

The previous prime is 36247997. The next prime is 36248039. The reversal of 36248000 is 84263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183902 + ... + 184098.

Almost surely, 2^36248000 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 36248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47073312).

36248000 is an abundant number, since it is smaller than the sum of its proper divisors (57898624).

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

36248000 is a wasteful number, since it uses less digits than its factorization.

36248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 36248000 is about 6020.6311961455. The cubic root of 36248000 is about 330.9492107552.

The spelling of 36248000 in words is "thirty-six million, two hundred forty-eight thousand".