5953440 has 96 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 1557504.

The previous prime is 5953429. The next prime is 5953459. The reversal of 5953440 is 443595.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5953398 and 5953407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37842 + ... + 37998.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

Almost surely, 2^5953440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555840).

5953440 is an abundant number, since it is smaller than the sum of its proper divisors (13158240).

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

5953440 is a wasteful number, since it uses less digits than its factorization.

5953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5953440 is about 2439.9672128945. The cubic root of 5953440 is about 181.2408096807.

The spelling of 5953440 in words is "five million, nine hundred fifty-three thousand, four hundred forty".