724627890 has 256 divisors, whose sum is σ = 2463436800. Its totient is φ = 147557376.

The previous prime is 724627879. The next prime is 724627919. The reversal of 724627890 is 98726427.

724627890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 609877 + ... + 611063.

It is an arithmetic number, because the mean of its divisors is an integer number (9622800).

Almost surely, 2^724627890 is an apocalyptic number.

724627890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 724627890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231718400).

724627890 is an abundant number, since it is smaller than the sum of its proper divisors (1738808910).

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

724627890 is a wasteful number, since it uses less digits than its factorization.

724627890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 724627890 is about 26918.9132395793. The cubic root of 724627890 is about 898.1971688556.

The spelling of 724627890 in words is "seven hundred twenty-four million, six hundred twenty-seven thousand, eight hundred ninety".