55952640 has 144 divisors (see below), whose sum is σ = 198676800. Its totient is φ = 14911488.

The previous prime is 55952639. The next prime is 55952641. The reversal of 55952640 is 4625955.

55952640 is a `hidden beast` number, since 5 + 5 + 9 + 5 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (55952639) and next prime (55952641).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 55952595 and 55952604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55952641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33751 + ... + 35369.

It is an arithmetic number, because the mean of its divisors is an integer number (1379700).

Almost surely, 2^55952640 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 55952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99338400).

55952640 is an abundant number, since it is smaller than the sum of its proper divisors (142724160).

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

55952640 is a wasteful number, since it uses less digits than its factorization.

55952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55952640 is about 7480.1497311217. The cubic root of 55952640 is about 382.4783532540.

The spelling of 55952640 in words is "fifty-five million, nine hundred fifty-two thousand, six hundred forty".