41652864 has 192 divisors, whose sum is σ = 138434400. Its totient is φ = 11888640.

The previous prime is 41652847. The next prime is 41652881. The reversal of 41652864 is 46825614.

It is an interprime number because it is at equal distance from previous prime (41652847) and next prime (41652881).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×41652864² = 3469922158804992, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 240682 + ... + 240854.

Almost surely, 2^41652864 is an apocalyptic number.

41652864 is a gapful number since it is divisible by the number (44) 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 41652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69217200).

41652864 is an abundant number, since it is smaller than the sum of its proper divisors (96781536).

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

41652864 is a wasteful number, since it uses less digits than its factorization.

41652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 41652864 is about 6453.9030051590. The cubic root of 41652864 is about 346.6423520093.

The spelling of 41652864 in words is "forty-one million, six hundred fifty-two thousand, eight hundred sixty-four".