10458720 has 144 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 2778624.

The previous prime is 10458691. The next prime is 10458727. The reversal of 10458720 is 2785401.

10458720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10458727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38746 + ... + 39014.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^10458720 is an apocalyptic number.

10458720 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 10458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

10458720 is an abundant number, since it is smaller than the sum of its proper divisors (26691120).

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

10458720 is an equidigital number, since it uses as much as digits as its factorization.

10458720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10458720 is about 3233.9944341325. The cubic root of 10458720 is about 218.6886173351.

The spelling of 10458720 in words is "ten million, four hundred fifty-eight thousand, seven hundred twenty".