55782144 has 216 divisors, whose sum is σ = 183665664. Its totient is φ = 16128000.

The previous prime is 55782143. The next prime is 55782149. The reversal of 55782144 is 44128755.

It is a super-2 number, since 2×55782144² = 6223295178473472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 55782099 and 55782108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55782143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785629 + ... + 785699.

It is an arithmetic number, because the mean of its divisors is an integer number (850304).

Almost surely, 2^55782144 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 55782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91832832).

55782144 is an abundant number, since it is smaller than the sum of its proper divisors (127883520).

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

55782144 is a wasteful number, since it uses less digits than its factorization.

55782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 55782144 is about 7468.7444728013. The cubic root of 55782144 is about 382.0894685498.

The spelling of 55782144 in words is "fifty-five million, seven hundred eighty-two thousand, one hundred forty-four".