10426752 has 128 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 2972160.

The previous prime is 10426739. The next prime is 10426753. The reversal of 10426752 is 25762401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426753) 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, 23977 + ... + 24407.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^10426752 is an apocalyptic number.

10426752 is a gapful number since it is divisible by the number (12) 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 10426752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

10426752 is an abundant number, since it is smaller than the sum of its proper divisors (24824448).

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

10426752 is an equidigital number, since it uses as much as digits as its factorization.

10426752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10426752 is about 3229.0481569651. The cubic root of 10426752 is about 218.4655762508.

The spelling of 10426752 in words is "ten million, four hundred twenty-six thousand, seven hundred fifty-two".