66206624 has 48 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 29836800.

The previous prime is 66206617. The next prime is 66206639. The reversal of 66206624 is 42660266.

It is a super-2 number, since 2×66206624² = 8766634122954752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43964 + ... + 45444.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^66206624 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 66206624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

66206624 is an abundant number, since it is smaller than the sum of its proper divisors (77203552).

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

66206624 is a wasteful number, since it uses less digits than its factorization.

66206624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 66206624 is about 8136.7452952639. The cubic root of 66206624 is about 404.5452885792.

The spelling of 66206624 in words is "sixty-six million, two hundred six thousand, six hundred twenty-four".