55932240 has 240 divisors, whose sum is σ = 215664768. Its totient is φ = 11741184.

The previous prime is 55932229. The next prime is 55932263. The reversal of 55932240 is 4223955.

55932240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 55932198 and 55932207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283822 + ... + 284018.

Almost surely, 2^55932240 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 55932240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107832384).

55932240 is an abundant number, since it is smaller than the sum of its proper divisors (159732528).

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

55932240 is a wasteful number, since it uses less digits than its factorization.

55932240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55932240 is about 7478.7859977405. The cubic root of 55932240 is about 382.4318644923.

It can be divided in two parts, 55 and 932240, that added together give a triangular number (932295 = T₁₃₆₅).

The spelling of 55932240 in words is "fifty-five million, nine hundred thirty-two thousand, two hundred forty".