1292564 has 48 divisors (see below), whose sum is σ = 2878848. Its totient is φ = 494208.

The previous prime is 1292563. The next prime is 1292567. The reversal of 1292564 is 4652921.

It is a happy number.

Its product of digits (4320) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292563) 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, 19259 + ... + 19325.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

2^1292564 is an apocalyptic number.

1292564 is a gapful number since it is divisible by the number (14) 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 1292564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439424).

1292564 is an abundant number, since it is smaller than the sum of its proper divisors (1586284).

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

1292564 is a wasteful number, since it uses less digits than its factorization.

1292564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 1292564 is about 1136.9098469096. The cubic root of 1292564 is about 108.9307980349.

The spelling of 1292564 in words is "one million, two hundred ninety-two thousand, five hundred sixty-four".