10581408 has 96 divisors (see below), whose sum is σ = 31792320. Its totient is φ = 3421440.

The previous prime is 10581391. The next prime is 10581409. The reversal of 10581408 is 80418501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10581408² = 223932390524928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10581409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31803 + ... + 32133.

It is an arithmetic number, because the mean of its divisors is an integer number (331170).

Almost surely, 2^10581408 is an apocalyptic number.

10581408 is a gapful number since it is divisible by the number (18) 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 10581408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896160).

10581408 is an abundant number, since it is smaller than the sum of its proper divisors (21210912).

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

10581408 is a wasteful number, since it uses less digits than its factorization.

10581408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10581408 is about 3252.9076224203. The cubic root of 10581408 is about 219.5404180081.

Adding to 10581408 its reverse (80418501), we get a palindrome (90999909).

The spelling of 10581408 in words is "ten million, five hundred eighty-one thousand, four hundred eight".