54595440 has 120 divisors (see below), whose sum is σ = 184773888. Its totient is φ = 14446080.

The previous prime is 54595403. The next prime is 54595481. The reversal of 54595440 is 4459545.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54595395 and 54595404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137322 + ... + 137718.

Almost surely, 2^54595440 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 54595440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92386944).

54595440 is an abundant number, since it is smaller than the sum of its proper divisors (130178448).

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

54595440 is a wasteful number, since it uses less digits than its factorization.

54595440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 54595440 is about 7388.8727151034. The cubic root of 54595440 is about 379.3605126159.

The spelling of 54595440 in words is "fifty-four million, five hundred ninety-five thousand, four hundred forty".