1152720 has 60 divisors (see below), whose sum is σ = 3873636. Its totient is φ = 307200.

The previous prime is 1152707. The next prime is 1152733. The reversal of 1152720 is 272511.

It is an interprime number because it is at equal distance from previous prime (1152707) and next prime (1152733).

It can be written as a sum of positive squares in 2 ways, for example, as 898704 + 254016 = 948^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1152693 and 1152702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 1520.

2^1152720 is an apocalyptic number.

1152720 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 1152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936818).

1152720 is an abundant number, since it is smaller than the sum of its proper divisors (2720916).

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

1152720 is a wasteful number, since it uses less digits than its factorization.

1152720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1152720 is about 1073.6479870051. The cubic root of 1152720 is about 104.8514907317.

The spelling of 1152720 in words is "one million, one hundred fifty-two thousand, seven hundred twenty".