41688400 has 60 divisors (see below), whose sum is σ = 107874172. Its totient is φ = 15390720.

The previous prime is 41688373. The next prime is 41688407. The reversal of 41688400 is 488614.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 38093584 = 1896^2 + 6172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41688407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1192 + ... + 9208.

Almost surely, 2^41688400 is an apocalyptic number.

41688400 is a gapful number since it is divisible by the number (40) 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 41688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53937086).

41688400 is an abundant number, since it is smaller than the sum of its proper divisors (66185772).

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

41688400 is a wasteful number, since it uses less digits than its factorization.

41688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 41688400 is about 6456.6554809747. The cubic root of 41688400 is about 346.7409029051.

The spelling of 41688400 in words is "forty-one million, six hundred eighty-eight thousand, four hundred".