55169600 has 126 divisors (see below), whose sum is σ = 144023334. Its totient is φ = 20787200.

The previous prime is 55169567. The next prime is 55169603. The reversal of 55169600 is 696155.

It can be written as a sum of positive squares in 9 ways, for example, as 27962944 + 27206656 = 5288^2 + 5216^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55169603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1345580 + ... + 1345620.

Almost surely, 2^55169600 is an apocalyptic number.

55169600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72011667).

55169600 is an abundant number, since it is smaller than the sum of its proper divisors (88853734).

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

55169600 is a wasteful number, since it uses less digits than its factorization.

55169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 55169600 is about 7427.6241154221. The cubic root of 55169600 is about 380.6857423845.

The spelling of 55169600 in words is "fifty-five million, one hundred sixty-nine thousand, six hundred".