55485940 has 48 divisors (see below), whose sum is σ = 121059792. Its totient is φ = 21344256.

The previous prime is 55485931. The next prime is 55485971. The reversal of 55485940 is 4958455.

It can be written as a sum of positive squares in 8 ways, for example, as 992016 + 54493924 = 996^2 + 7382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55485893 and 55485902.

It is a congruent number.

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, 71394 + ... + 72166.

It is an arithmetic number, because the mean of its divisors is an integer number (2522079).

Almost surely, 2^55485940 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 55485940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60529896).

55485940 is an abundant number, since it is smaller than the sum of its proper divisors (65573852).

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

55485940 is a wasteful number, since it uses less digits than its factorization.

55485940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 55485940 is about 7448.8885076903. Note that the first 3 decimals coincide. The cubic root of 55485940 is about 381.4119677303.

The spelling of 55485940 in words is "fifty-five million, four hundred eighty-five thousand, nine hundred forty".