1263948 has 48 divisors (see below), whose sum is σ = 3462144. Its totient is φ = 351360.

The previous prime is 1263947. The next prime is 1263949. The reversal of 1263948 is 8493621.

It is an interprime number because it is at equal distance from previous prime (1263947) and next prime (1263949).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1263943) 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, 3261 + ... + 3627.

It is an arithmetic number, because the mean of its divisors is an integer number (72128).

2^1263948 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 1263948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731072).

1263948 is an abundant number, since it is smaller than the sum of its proper divisors (2198196).

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

1263948 is a wasteful number, since it uses less digits than its factorization.

1263948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 1263948 is about 1124.2544196044. The cubic root of 1263948 is about 108.1209208035.

It can be divided in two parts, 1263 and 948, that added together give a triangular number (2211 = T₆₆).

The spelling of 1263948 in words is "one million, two hundred sixty-three thousand, nine hundred forty-eight".