66362544 has 80 divisors (see below), whose sum is σ = 198796800. Its totient is φ = 21155904.

The previous prime is 66362539. The next prime is 66362561. The reversal of 66362544 is 44526366.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66362499 and 66362508.

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, 6597 + ... + 13275.

It is an arithmetic number, because the mean of its divisors is an integer number (2484960).

Almost surely, 2^66362544 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 66362544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99398400).

66362544 is an abundant number, since it is smaller than the sum of its proper divisors (132434256).

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

66362544 is a wasteful number, since it uses less digits than its factorization.

66362544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6707 counting only the distinct ones).

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

The square root of 66362544 is about 8146.3208873700. The cubic root of 66362544 is about 404.8626145806.

It can be divided in two parts, 6636 and 2544, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 66362544 in words is "sixty-six million, three hundred sixty-two thousand, five hundred forty-four".