1005720 has 96 divisors (see below), whose sum is σ = 3315600. Its totient is φ = 243712.

The previous prime is 1005709. The next prime is 1005751. The reversal of 1005720 is 275001.

1005720 = 1² + 2² + ... + 144².

It is a happy number.

1005720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005720² = 2022945436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1005720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34666 + ... + 34694.

2^1005720 is an apocalyptic number.

1005720 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 1005720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657800).

1005720 is an abundant number, since it is smaller than the sum of its proper divisors (2309880).

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

1005720 is a wasteful number, since it uses less digits than its factorization.

1005720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1005720 is about 1002.8559218552. The cubic root of 1005720 is about 100.1903042797.

The spelling of 1005720 in words is "one million, five thousand, seven hundred twenty".