10372640 has 48 divisors (see below), whose sum is σ = 24698520. Its totient is φ = 4116480.

The previous prime is 10372639. The next prime is 10372657. The reversal of 10372640 is 4627301.

It can be written as a sum of positive squares in 4 ways, for example, as 7118224 + 3254416 = 2668^2 + 1804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38426 + ... + 38694.

Almost surely, 2^10372640 is an apocalyptic number.

10372640 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 10372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349260).

10372640 is an abundant number, since it is smaller than the sum of its proper divisors (14325880).

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

10372640 is a wasteful number, since it uses less digits than its factorization.

10372640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 10372640 is about 3220.6583177978. The cubic root of 10372640 is about 218.0869949905.

Adding to 10372640 its reverse (4627301), we get a palindrome (14999941).

The spelling of 10372640 in words is "ten million, three hundred seventy-two thousand, six hundred forty".