66511104 has 72 divisors (see below), whose sum is σ = 193133472. Its totient is φ = 20152320.

The previous prime is 66511099. The next prime is 66511129. The reversal of 66511104 is 40111566.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4512 + ... + 12384.

Almost surely, 2^66511104 is an apocalyptic number.

66511104 is a gapful number since it is divisible by the number (64) 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 66511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96566736).

66511104 is an abundant number, since it is smaller than the sum of its proper divisors (126622368).

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

66511104 is a wasteful number, since it uses less digits than its factorization.

66511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 66511104 is about 8155.4340166542. The cubic root of 66511104 is about 405.1644995530.

It can be divided in two parts, 66 and 511104, that multiplied together give a square (33732864 = 5808²).

The spelling of 66511104 in words is "sixty-six million, five hundred eleven thousand, one hundred four".