10587408 has 120 divisors (see below), whose sum is σ = 31747968. Its totient is φ = 3020544.

The previous prime is 10587403. The next prime is 10587419. The reversal of 10587408 is 80478501.

It is a happy number.

It is a super-2 number, since 2×10587408² = 224186416316928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10587403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225241 + ... + 225287.

Almost surely, 2^10587408 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 10587408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873984).

10587408 is an abundant number, since it is smaller than the sum of its proper divisors (21160560).

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

10587408 is a wasteful number, since it uses less digits than its factorization.

10587408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 10587408 is about 3253.8297435484. The cubic root of 10587408 is about 219.5819056694.

The spelling of 10587408 in words is "ten million, five hundred eighty-seven thousand, four hundred eight".