41292864 has 84 divisors (see below), whose sum is σ = 125350524. Its totient is φ = 12951552.

The previous prime is 41292859. The next prime is 41292893. The reversal of 41292864 is 46829214.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 6718464 = 5880^2 + 2592^2 .

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, 7684 + ... + 11900.

Almost surely, 2^41292864 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 41292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62675262).

41292864 is an abundant number, since it is smaller than the sum of its proper divisors (84057660).

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

41292864 is a wasteful number, since it uses less digits than its factorization.

41292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4239 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41292864 is about 6425.9523807759. The cubic root of 41292864 is about 345.6408002242.

The spelling of 41292864 in words is "forty-one million, two hundred ninety-two thousand, eight hundred sixty-four".