66414152 has 64 divisors (see below), whose sum is σ = 149360640. Its totient is φ = 27086400.

The previous prime is 66414119. The next prime is 66414163. The reversal of 66414152 is 25141466.

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, 116027 + ... + 116597.

It is an arithmetic number, because the mean of its divisors is an integer number (2333760).

Almost surely, 2^66414152 is an apocalyptic number.

66414152 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66414152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74680320).

66414152 is an abundant number, since it is smaller than the sum of its proper divisors (82946488).

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

66414152 is a wasteful number, since it uses less digits than its factorization.

66414152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 66414152 is about 8149.4878366680. The cubic root of 66414152 is about 404.9675368991.

It can be divided in two parts, 66414 and 152, that added together give a palindrome (66566).

The spelling of 66414152 in words is "sixty-six million, four hundred fourteen thousand, one hundred fifty-two".