41287764 has 96 divisors (see below), whose sum is σ = 120718080. Its totient is φ = 10708992.

The previous prime is 41287733. The next prime is 41287801. The reversal of 41287764 is 46778214.

It is a super-2 number, since 2×41287764² = 3409358912239392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40914 + ... + 41910.

It is an arithmetic number, because the mean of its divisors is an integer number (1257480).

Almost surely, 2^41287764 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 41287764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60359040).

41287764 is an abundant number, since it is smaller than the sum of its proper divisors (79430316).

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

41287764 is a wasteful number, since it uses less digits than its factorization.

41287764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1055 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 41287764 is about 6425.5555401848. Note that the first 4 decimals coincide. The cubic root of 41287764 is about 345.6265698344.

The spelling of 41287764 in words is "forty-one million, two hundred eighty-seven thousand, seven hundred sixty-four".