1958560 has 24 divisors (see below), whose sum is σ = 4627476. Its totient is φ = 783360.

The previous prime is 1958557. The next prime is 1958563. The reversal of 1958560 is 658591.

It is an interprime number because it is at equal distance from previous prime (1958557) and next prime (1958563).

It can be written as a sum of positive squares in 2 ways, for example, as 1882384 + 76176 = 1372^2 + 276^2 .

It is a super-3 number, since 3×1958560³ = 22538857433346048000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1958563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5961 + ... + 6280.

2^1958560 is an apocalyptic number.

1958560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1958560 is an abundant number, since it is smaller than the sum of its proper divisors (2668916).

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

1958560 is a wasteful number, since it uses less digits than its factorization.

1958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12256 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 1958560 is about 1399.4856197904. The cubic root of 1958560 is about 125.1158392836.

The spelling of 1958560 in words is "one million, nine hundred fifty-eight thousand, five hundred sixty".