55765440 has 252 divisors, whose sum is σ = 206797656. Its totient is φ = 13787136.

The previous prime is 55765429. The next prime is 55765441. The reversal of 55765440 is 4456755.

It is a happy number.

55765440 is a `hidden beast` number, since 557 + 65 + 4 + 40 = 666.

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 = 55765395 and 55765404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55765441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832287 + ... + 832353.

Almost surely, 2^55765440 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 55765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103398828).

55765440 is an abundant number, since it is smaller than the sum of its proper divisors (151032216).

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

55765440 is a wasteful number, since it uses less digits than its factorization.

55765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55765440 is about 7467.6261288310. The cubic root of 55765440 is about 382.0513257607.

The spelling of 55765440 in words is "fifty-five million, seven hundred sixty-five thousand, four hundred forty".