1254656 has 54 divisors (see below), whose sum is σ = 2805390. Its totient is φ = 559104.

The previous prime is 1254653. The next prime is 1254661. The reversal of 1254656 is 6564521.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 1254400 = 16^2 + 1120^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43250 + ... + 43278.

2^1254656 is an apocalyptic number.

1254656 is a gapful number since it is divisible by the number (16) 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 1254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402695).

1254656 is an abundant number, since it is smaller than the sum of its proper divisors (1550734).

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

1254656 is an equidigital number, since it uses as much as digits as its factorization.

1254656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 1254656 is about 1120.1142798840. The cubic root of 1254656 is about 107.8553160893.

Multiplying 1254656 by its sum of digits (29), we get a square (36385024 = 6032²).

1254656 divided by its sum of digits (29) gives a square (43264 = 208²).

The spelling of 1254656 in words is "one million, two hundred fifty-four thousand, six hundred fifty-six".