55932768 has 72 divisors (see below), whose sum is σ = 164972808. Its totient is φ = 18641664.

The previous prime is 55932763. The next prime is 55932817. The reversal of 55932768 is 86723955.

It is a happy number.

55932768 is a `hidden beast` number, since 559 + 32 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×55932768² = 6256949072283648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55932761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4180 + ... + 11372.

It is an arithmetic number, because the mean of its divisors is an integer number (2291289).

Almost surely, 2^55932768 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 55932768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82486404).

55932768 is an abundant number, since it is smaller than the sum of its proper divisors (109040040).

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

55932768 is an equidigital number, since it uses as much as digits as its factorization.

55932768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7198 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55932768 is about 7478.8212975040. The cubic root of 55932768 is about 382.4330678733.

The spelling of 55932768 in words is "fifty-five million, nine hundred thirty-two thousand, seven hundred sixty-eight".