41393664 has 120 divisors (see below), whose sum is σ = 128840712. Its totient is φ = 12718080.

The previous prime is 41393621. The next prime is 41393707. The reversal of 41393664 is 46639314.

It is an interprime number because it is at equal distance from previous prime (41393621) and next prime (41393707).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59559 + ... + 60249.

Almost surely, 2^41393664 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 41393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64420356).

41393664 is an abundant number, since it is smaller than the sum of its proper divisors (87447048).

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

41393664 is a wasteful number, since it uses less digits than its factorization.

41393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 709 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 41393664 is about 6433.7907954798. The cubic root of 41393664 is about 345.9218195731.

The spelling of 41393664 in words is "forty-one million, three hundred ninety-three thousand, six hundred sixty-four".