66456936 has 320 divisors, whose sum is σ = 243936000. Its totient is φ = 16765056.

The previous prime is 66456911. The next prime is 66456947. The reversal of 66456936 is 63965466.

Its product of digits (699840) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 66456891 and 66456900.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2889421 + ... + 2889443.

It is an arithmetic number, because the mean of its divisors is an integer number (762300).

Almost surely, 2^66456936 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 66456936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968000).

66456936 is an abundant number, since it is smaller than the sum of its proper divisors (177479064).

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

66456936 is a wasteful number, since it uses less digits than its factorization.

66456936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 66456936 is about 8152.1123642894. The cubic root of 66456936 is about 405.0544782683.

It can be divided in two parts, 664 and 56936, that added together give a square (57600 = 240²).

The spelling of 66456936 in words is "sixty-six million, four hundred fifty-six thousand, nine hundred thirty-six".