10351840 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 3784704.

The previous prime is 10351837. The next prime is 10351841. The reversal of 10351840 is 4815301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10351841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106672 + ... + 106768.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^10351840 is an apocalyptic number.

10351840 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 10351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

10351840 is an abundant number, since it is smaller than the sum of its proper divisors (16319840).

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

10351840 is a wasteful number, since it uses less digits than its factorization.

10351840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10351840 is about 3217.4275438617. The cubic root of 10351840 is about 217.9411226123.

It can be divided in two parts, 1035 and 1840, that multiplied together give a square (1904400 = 1380²).

The spelling of 10351840 in words is "ten million, three hundred fifty-one thousand, eight hundred forty".