66251460 has 96 divisors (see below), whose sum is σ = 207914112. Its totient is φ = 15621120.

The previous prime is 66251459. The next prime is 66251467. The reversal of 66251460 is 6415266.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66251467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23064 + ... + 25776.

It is an arithmetic number, because the mean of its divisors is an integer number (2165772).

Almost surely, 2^66251460 is an apocalyptic number.

66251460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 8139×8140.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66251460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103957056).

66251460 is an abundant number, since it is smaller than the sum of its proper divisors (141662652).

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

66251460 is a wasteful number, since it uses less digits than its factorization.

66251460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66251460 is about 8139.4999846428. The cubic root of 66251460 is about 404.6365891094.

The spelling of 66251460 in words is "sixty-six million, two hundred fifty-one thousand, four hundred sixty".