66923416 has 64 divisors (see below), whose sum is σ = 151560000. Its totient is φ = 27692448.

The previous prime is 66923411. The next prime is 66923447. The reversal of 66923416 is 61432966.

It is a happy number.

The cubic root of 66923416 is 406.

It is a perfect power (a cube), and thus also a powerful number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66923411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307690 + ... + 2307718.

It is an arithmetic number, because the mean of its divisors is an integer number (2368125).

Almost surely, 2^66923416 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 66923416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75780000).

66923416 is an abundant number, since it is smaller than the sum of its proper divisors (84636584).

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

66923416 is an frugal number, since it uses more digits than its factorization.

66923416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 38 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 66923416 is about 8180.6733219216.

Multiplying 66923416 by its product of digits (46656), we get a cube (3122378896896 = 14616³).

The spelling of 66923416 in words is "sixty-six million, nine hundred twenty-three thousand, four hundred sixteen".