10253964 has 48 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 2878656.

The previous prime is 10253927. The next prime is 10253987. The reversal of 10253964 is 46935201.

10253964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3922 + ... + 5990.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 2^10253964 is an apocalyptic number.

10253964 is a gapful number since it is divisible by the number (14) 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 10253964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

10253964 is an abundant number, since it is smaller than the sum of its proper divisors (17566836).

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

10253964 is a wasteful number, since it uses less digits than its factorization.

10253964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 10253964 is about 3202.1811316664. The cubic root of 10253964 is about 217.2520731584.

The spelling of 10253964 in words is "ten million, two hundred fifty-three thousand, nine hundred sixty-four".