66096720 has 60 divisors (see below), whose sum is σ = 221977236. Its totient is φ = 17625600.

The previous prime is 66096703. The next prime is 66096739. The reversal of 66096720 is 2769066.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 39841344 = 5124^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45181 + ... + 46620.

Almost surely, 2^66096720 is an apocalyptic number.

66096720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66096720 is an abundant number, since it is smaller than the sum of its proper divisors (155880516).

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

66096720 is a wasteful number, since it uses less digits than its factorization.

66096720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91820 (or 91811 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 66096720 is about 8129.9889298818. The cubic root of 66096720 is about 404.3213141615.

The spelling of 66096720 in words is "sixty-six million, ninety-six thousand, seven hundred twenty".