1953680 has 20 divisors (see below), whose sum is σ = 4542492. Its totient is φ = 781440.

The previous prime is 1953673. The next prime is 1953697. The reversal of 1953680 is 863591.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 1752976 = 448^2 + 1324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a d-powerful number, because it can be written as 1 + 9 + 5⁹ + 3³ + 6 + 8³ + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12131 + ... + 12290.

2^1953680 is an apocalyptic number.

1953680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1953680 is an abundant number, since it is smaller than the sum of its proper divisors (2588812).

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

1953680 is a wasteful number, since it uses less digits than its factorization.

1953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24434 (or 24428 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1953680 is about 1397.7410346699. The cubic root of 1953680 is about 125.0118388787.

The spelling of 1953680 in words is "one million, nine hundred fifty-three thousand, six hundred eighty".