41162688 has 224 divisors, whose sum is σ = 143377920. Its totient is φ = 11335680.

The previous prime is 41162669. The next prime is 41162717. The reversal of 41162688 is 88626114.

It is a tau number, because it is divible by the number of its divisors (224).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495895 + ... + 495977.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 2^41162688 is an apocalyptic number.

41162688 is a gapful number since it is divisible by the number (48) 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 41162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

41162688 is an abundant number, since it is smaller than the sum of its proper divisors (102215232).

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

41162688 is a wasteful number, since it uses less digits than its factorization.

41162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41162688 is about 6415.8154586927. The cubic root of 41162688 is about 345.2772063175.

The spelling of 41162688 in words is "forty-one million, one hundred sixty-two thousand, six hundred eighty-eight".