55997724 has 48 divisors (see below), whose sum is σ = 138852000. Its totient is φ = 17531136.

The previous prime is 55997723. The next prime is 55997741. The reversal of 55997724 is 42779955.

55997724 = T₁₇₇ + T₁₇₈ + ... + T₆₉₈.

It is a super-3 number, since 3×55997724³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) 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 (55997723) 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, 10702 + ... + 15050.

It is an arithmetic number, because the mean of its divisors is an integer number (2892750).

Almost surely, 2^55997724 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 55997724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69426000).

55997724 is an abundant number, since it is smaller than the sum of its proper divisors (82854276).

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

55997724 is a wasteful number, since it uses less digits than its factorization.

55997724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4420 counting only the distinct ones).

The product of its digits is 793800, while the sum is 48.

The square root of 55997724 is about 7483.1627003560. The cubic root of 55997724 is about 382.5810533517.

The spelling of 55997724 in words is "fifty-five million, nine hundred ninety-seven thousand, seven hundred twenty-four".