66274560 has 216 divisors, whose sum is σ = 250627104. Its totient is φ = 16035840.

The previous prime is 66274531. The next prime is 66274589. The reversal of 66274560 is 6547266.

It is an interprime number because it is at equal distance from previous prime (66274531) and next prime (66274589).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126459 + ... + 126981.

Almost surely, 2^66274560 is an apocalyptic number.

66274560 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 66274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125313552).

66274560 is an abundant number, since it is smaller than the sum of its proper divisors (184352544).

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

66274560 is a wasteful number, since it uses less digits than its factorization.

66274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

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

The square root of 66274560 is about 8140.9188670567. The cubic root of 66274560 is about 404.6836120684.

The spelling of 66274560 in words is "sixty-six million, two hundred seventy-four thousand, five hundred sixty".