55617672 has 64 divisors (see below), whose sum is σ = 152616960. Its totient is φ = 16750400.

The previous prime is 55617671. The next prime is 55617691. The reversal of 55617672 is 27671655.

It is a self number, because there is not a number n which added to its sum of digits gives 55617672.

It is not an unprimeable number, because it can be changed into a prime (55617671) 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, 49873 + ... + 50975.

It is an arithmetic number, because the mean of its divisors is an integer number (2384640).

Almost surely, 2^55617672 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 55617672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76308480).

55617672 is an abundant number, since it is smaller than the sum of its proper divisors (96999288).

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

55617672 is a wasteful number, since it uses less digits than its factorization.

55617672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1310 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 55617672 is about 7457.7256586710. The cubic root of 55617672 is about 381.7135723727.

The spelling of 55617672 in words is "fifty-five million, six hundred seventeen thousand, six hundred seventy-two".