55641040 has 80 divisors (see below), whose sum is σ = 159239808. Its totient is φ = 17607168.

The previous prime is 55641037. The next prime is 55641049. The reversal of 55641040 is 4014655.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 55640996 and 55641014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55641049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3459 + ... + 11101.

Almost surely, 2^55641040 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 55641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

55641040 is an abundant number, since it is smaller than the sum of its proper divisors (103598768).

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

55641040 is a wasteful number, since it uses less digits than its factorization.

55641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 55641040 is about 7459.2921916225. The cubic root of 55641040 is about 381.7670244111.

Adding to 55641040 its reverse (4014655), we get a palindrome (59655695).

The spelling of 55641040 in words is "fifty-five million, six hundred forty-one thousand, forty".