66051936 has 120 divisors (see below), whose sum is σ = 205821000. Its totient is φ = 20708352.

The previous prime is 66051901. The next prime is 66051949. The reversal of 66051936 is 63915066.

66051936 is a `hidden beast` number, since 6 + 605 + 19 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66051936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43315 + ... + 44813.

It is an arithmetic number, because the mean of its divisors is an integer number (1715175).

Almost surely, 2^66051936 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 66051936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910500).

66051936 is an abundant number, since it is smaller than the sum of its proper divisors (139769064).

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

66051936 is a wasteful number, since it uses less digits than its factorization.

66051936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 66051936 is about 8127.2342158941. The cubic root of 66051936 is about 404.2299772198.

The spelling of 66051936 in words is "sixty-six million, fifty-one thousand, nine hundred thirty-six".