66987360 has 144 divisors (see below), whose sum is σ = 249434640. Its totient is φ = 16235520.

The previous prime is 66987343. The next prime is 66987439. The reversal of 66987360 is 6378966.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13726 + ... + 17954.

It is an arithmetic number, because the mean of its divisors is an integer number (1732185).

Almost surely, 2^66987360 is an apocalyptic number.

66987360 is a gapful number since it is divisible by the number (60) 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 66987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124717320).

66987360 is an abundant number, since it is smaller than the sum of its proper divisors (182447280).

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

66987360 is a wasteful number, since it uses less digits than its factorization.

66987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66987360 is about 8184.5806245647. The cubic root of 66987360 is about 406.1292671606.

The spelling of 66987360 in words is "sixty-six million, nine hundred eighty-seven thousand, three hundred sixty".