36450648 has 80 divisors (see below), whose sum is σ = 109974480. Its totient is φ = 11212992.

The previous prime is 36450647. The next prime is 36450677. The reversal of 36450648 is 84605463.

36450648 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 0 + 648 = 666.

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 (36450641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6261 + ... + 10587.

It is an arithmetic number, because the mean of its divisors is an integer number (1374681).

Almost surely, 2^36450648 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 36450648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54987240).

36450648 is an abundant number, since it is smaller than the sum of its proper divisors (73523832).

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

36450648 is a wasteful number, since it uses less digits than its factorization.

36450648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 36450648 is about 6037.4372046424. The cubic root of 36450648 is about 331.5647996828.

It can be divided in two parts, 36450 and 648, that multiplied together give a square (23619600 = 4860²).

The spelling of 36450648 in words is "thirty-six million, four hundred fifty thousand, six hundred forty-eight".