36464616 has 48 divisors (see below), whose sum is σ = 100245600. Its totient is φ = 11971872.

The previous prime is 36464611. The next prime is 36464651. The reversal of 36464616 is 61646463.

36464616 is a `hidden beast` number, since 3 + 6 + 4 + 646 + 1 + 6 = 666.

36464616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (36464611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1045 + ... + 8603.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^36464616 is an apocalyptic number.

36464616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36464616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

36464616 is an abundant number, since it is smaller than the sum of its proper divisors (63780984).

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

36464616 is a wasteful number, since it uses less digits than its factorization.

36464616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7631 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 36464616 is about 6038.5938760609. The cubic root of 36464616 is about 331.6071464898.

It can be divided in two parts, 364 and 64616, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 36464616 in words is "thirty-six million, four hundred sixty-four thousand, six hundred sixteen".