55345536 has 96 divisors (see below), whose sum is σ = 161109000. Its totient is φ = 18235392.

The previous prime is 55345519. The next prime is 55345553. The reversal of 55345536 is 63554355.

It is an interprime number because it is at equal distance from previous prime (55345519) and next prime (55345553).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55345536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123040 + ... + 123488.

Almost surely, 2^55345536 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 55345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80554500).

55345536 is an abundant number, since it is smaller than the sum of its proper divisors (105763464).

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

55345536 is a wasteful number, since it uses less digits than its factorization.

55345536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The square root of 55345536 is about 7439.4580447772. The cubic root of 55345536 is about 381.0899822602.

The spelling of 55345536 in words is "fifty-five million, three hundred forty-five thousand, five hundred thirty-six".