551264 has 48 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 223872.

The previous prime is 551233. The next prime is 551269. The reversal of 551264 is 462155.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5099 + ... + 5205.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2⁵⁵¹²⁶⁴ 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 551264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

551264 is an abundant number, since it is smaller than the sum of its proper divisors (755104).

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

551264 is a wasteful number, since it uses less digits than its factorization.

551264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 551264 is about 742.4715482764. The cubic root of 551264 is about 81.9948440145.

The spelling of 551264 in words is "five hundred fifty-one thousand, two hundred sixty-four".