554688 has 70 divisors (see below), whose sum is σ = 1659636. Its totient is φ = 183168.

The previous prime is 554677. The next prime is 554699. The reversal of 554688 is 886455.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (554677) and next prime (554699).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 554688.

It is an unprimeable number.

554688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5131 + ... + 5237.

2⁵⁵⁴⁶⁸⁸ 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 554688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829818).

554688 is an abundant number, since it is smaller than the sum of its proper divisors (1104948).

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

554688 is a wasteful number, since it uses less digits than its factorization.

554688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 554688 is about 744.7737911608. The cubic root of 554688 is about 82.1642553309.

The spelling of 554688 in words is "five hundred fifty-four thousand, six hundred eighty-eight".