36546642 has 48 divisors (see below), whose sum is σ = 87104160. Its totient is φ = 10982400.

The previous prime is 36546623. The next prime is 36546649. The reversal of 36546642 is 24664563.

36546642 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36546597 and 36546606.

It is not an unprimeable number, because it can be changed into a prime (36546649) 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 23 ways as a sum of consecutive naturals, for example, 25234 + ... + 26642.

It is an arithmetic number, because the mean of its divisors is an integer number (1814670).

Almost surely, 2^36546642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36546642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43552080).

36546642 is an abundant number, since it is smaller than the sum of its proper divisors (50557518).

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

36546642 is a wasteful number, since it uses less digits than its factorization.

36546642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1556 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 36546642 is about 6045.3818737942. The cubic root of 36546642 is about 331.8556068764.

It can be divided in two parts, 3654 and 6642, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 36546642 in words is "thirty-six million, five hundred forty-six thousand, six hundred forty-two".