10720458 has 64 divisors (see below), whose sum is σ = 27648000. Its totient is φ = 3015792.

The previous prime is 10720453. The next prime is 10720471. The reversal of 10720458 is 85402701.

It is a super-2 number, since 2×10720458² = 229856439459528, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10720453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29683 + ... + 30041.

It is an arithmetic number, because the mean of its divisors is an integer number (432000).

Almost surely, 2^10720458 is an apocalyptic number.

10720458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10720458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824000).

10720458 is an abundant number, since it is smaller than the sum of its proper divisors (16927542).

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

10720458 is a wasteful number, since it uses less digits than its factorization.

10720458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

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

The square root of 10720458 is about 3274.2110500088. The cubic root of 10720458 is about 220.4978943757.

The spelling of 10720458 in words is "ten million, seven hundred twenty thousand, four hundred fifty-eight".