1261536 has 48 divisors (see below), whose sum is σ = 3510864. Its totient is φ = 395264.

The previous prime is 1261531. The next prime is 1261549. The reversal of 1261536 is 6351621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1246 + ... + 2018.

It is an arithmetic number, because the mean of its divisors is an integer number (73143).

2^1261536 is an apocalyptic number.

1261536 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 1261536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755432).

1261536 is an abundant number, since it is smaller than the sum of its proper divisors (2249328).

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

1261536 is a wasteful number, since it uses less digits than its factorization.

1261536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 1261536 is about 1123.1811964238. The cubic root of 1261536 is about 108.0521010618.

The spelling of 1261536 in words is "one million, two hundred sixty-one thousand, five hundred thirty-six".