66240756 has 72 divisors (see below), whose sum is σ = 175986720. Its totient is φ = 20978496.

The previous prime is 66240739. The next prime is 66240761. The reversal of 66240756 is 65704266.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66240756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69475 + ... + 70421.

It is an arithmetic number, because the mean of its divisors is an integer number (2444260).

Almost surely, 2^66240756 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 66240756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87993360).

66240756 is an abundant number, since it is smaller than the sum of its proper divisors (109745964).

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

66240756 is a wasteful number, since it uses less digits than its factorization.

66240756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66240756 is about 8138.8424238340. The cubic root of 66240756 is about 404.6147960635.

The spelling of 66240756 in words is "sixty-six million, two hundred forty thousand, seven hundred fifty-six".