66417936 has 80 divisors (see below), whose sum is σ = 186196416. Its totient is φ = 20279808.

The previous prime is 66417899. The next prime is 66417943. The reversal of 66417936 is 63971466.

It is a super-2 number, since 2×66417936² = 8822684445000192, which contains 22 as substring.

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, 101386 + ... + 102038.

Almost surely, 2^66417936 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 66417936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93098208).

66417936 is an abundant number, since it is smaller than the sum of its proper divisors (119778480).

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

66417936 is a wasteful number, since it uses less digits than its factorization.

66417936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 66417936 is about 8149.7199951900. The cubic root of 66417936 is about 404.9752278706.

The spelling of 66417936 in words is "sixty-six million, four hundred seventeen thousand, nine hundred thirty-six".