10251840 has 112 divisors (see below), whose sum is σ = 33284160. Its totient is φ = 2672640.

The previous prime is 10251823. The next prime is 10251841. The reversal of 10251840 is 4815201.

It is not an unprimeable number, because it can be changed into a prime (10251841) 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, 56550 + ... + 56730.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^10251840 is an apocalyptic number.

10251840 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 10251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

10251840 is an abundant number, since it is smaller than the sum of its proper divisors (23032320).

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

10251840 is a wasteful number, since it uses less digits than its factorization.

10251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10251840 is about 3201.8494655433. The cubic root of 10251840 is about 217.2370716342.

The spelling of 10251840 in words is "ten million, two hundred fifty-one thousand, eight hundred forty".