10032840 has 144 divisors (see below), whose sum is σ = 34854300. Its totient is φ = 2499840.

The previous prime is 10032833. The next prime is 10032863. The reversal of 10032840 is 4823001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9998244 + 34596 = 3162^2 + 186^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323625 + ... + 323655.

Almost surely, 2^10032840 is an apocalyptic number.

10032840 is a gapful number since it is divisible by the number (10) 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 10032840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427150).

10032840 is an abundant number, since it is smaller than the sum of its proper divisors (24821460).

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

10032840 is a wasteful number, since it uses less digits than its factorization.

10032840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10032840 is about 3167.4658640623. The cubic root of 10032840 is about 215.6790500924.

Adding to 10032840 its reverse (4823001), we get a palindrome (14855841).

The spelling of 10032840 in words is "ten million, thirty-two thousand, eight hundred forty".