10032640 has 40 divisors (see below), whose sum is σ = 24060960. Its totient is φ = 4012032.

The previous prime is 10032611. The next prime is 10032653. The reversal of 10032640 is 4623001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601 + ... + 4519.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 2^10032640 is an apocalyptic number.

10032640 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 10032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030480).

10032640 is an abundant number, since it is smaller than the sum of its proper divisors (14028320).

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

10032640 is an frugal number, since it uses more digits than its factorization.

It is an anagram of its base 8 representation: 10032640 = (46213000)₈.

10032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10032640 is about 3167.4342929254. The cubic root of 10032640 is about 215.6776169290.

Adding to 10032640 its reverse (4623001), we get a palindrome (14655641).

The spelling of 10032640 in words is "ten million, thirty-two thousand, six hundred forty".