724890 has 32 divisors (see below), whose sum is σ = 1768896. Its totient is φ = 190080.

The previous prime is 724879. The next prime is 724901. The reversal of 724890 is 98427.

It is an interprime number because it is at equal distance from previous prime (724879) and next prime (724901).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2025 + ... + 2355.

It is an arithmetic number, because the mean of its divisors is an integer number (55278).

2⁷²⁴⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884448).

724890 is an abundant number, since it is smaller than the sum of its proper divisors (1044006).

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

724890 is a wasteful number, since it uses less digits than its factorization.

724890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 724890 is about 851.4047216219. The cubic root of 724890 is about 89.8305453435.

The spelling of 724890 in words is "seven hundred twenty-four thousand, eight hundred ninety".