55961040 has 80 divisors (see below), whose sum is σ = 174203136. Its totient is φ = 14860800.

The previous prime is 55961027. The next prime is 55961063. The reversal of 55961040 is 4016955.

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

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 = 55960989 and 55961007.

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, 103170 + ... + 103710.

Almost surely, 2^55961040 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 55961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87101568).

55961040 is an abundant number, since it is smaller than the sum of its proper divisors (118242096).

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

55961040 is a wasteful number, since it uses less digits than its factorization.

55961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55961040 is about 7480.7111961364. The cubic root of 55961040 is about 382.4974924010.

Adding to 55961040 its reverse (4016955), we get a palindrome (59977995).

The spelling of 55961040 in words is "fifty-five million, nine hundred sixty-one thousand, forty".