66034560 has 128 divisors (see below), whose sum is σ = 212780160. Its totient is φ = 17418240.

The previous prime is 66034547. The next prime is 66034571. The reversal of 66034560 is 6543066.

66034560 = T₉₅ + T₉₆ + ... + T₇₃₄.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×66034560² = 8721126228787200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312855 + ... + 313065.

It is an arithmetic number, because the mean of its divisors is an integer number (1662345).

Almost surely, 2^66034560 is an apocalyptic number.

66034560 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 66034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106390080).

66034560 is an abundant number, since it is smaller than the sum of its proper divisors (146745600).

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

66034560 is a wasteful number, since it uses less digits than its factorization.

66034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 66034560 is about 8126.1651472266. The cubic root of 66034560 is about 404.1945277613.

The spelling of 66034560 in words is "sixty-six million, thirty-four thousand, five hundred sixty".