1072960 has 56 divisors (see below), whose sum is σ = 2926080. Its totient is φ = 367104.

The previous prime is 1072957. The next prime is 1072961. The reversal of 1072960 is 692701.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2001 + ... + 2479.

2^1072960 is an apocalyptic number.

1072960 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 1072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463040).

1072960 is an abundant number, since it is smaller than the sum of its proper divisors (1853120).

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

1072960 is an equidigital number, since it uses as much as digits as its factorization.

1072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1072960 is about 1035.8378251445. The cubic root of 1072960 is about 102.3751404497.

The spelling of 1072960 in words is "one million, seventy-two thousand, nine hundred sixty".