66071500 has 96 divisors (see below), whose sum is σ = 161808192. Its totient is φ = 23360000.

The previous prime is 66071491. The next prime is 66071501. The reversal of 66071500 is 517066.

It is a super-2 number, since 2×66071500² = 8730886224500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (66071501) 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, 225354 + ... + 225646.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502).

Almost surely, 2^66071500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66071500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80904096).

66071500 is an abundant number, since it is smaller than the sum of its proper divisors (95736692).

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

66071500 is a wasteful number, since it uses less digits than its factorization.

66071500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 66071500 is about 8128.4377342759. The cubic root of 66071500 is about 404.2698830631.

Adding to 66071500 its reverse (517066), we get a palindrome (66588566).

The spelling of 66071500 in words is "sixty-six million, seventy-one thousand, five hundred".