1293264 has 60 divisors (see below), whose sum is σ = 4139616. Its totient is φ = 369216.

The previous prime is 1293251. The next prime is 1293277. The reversal of 1293264 is 4623921.

It is an interprime number because it is at equal distance from previous prime (1293251) and next prime (1293277).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367 + ... + 1649.

2^1293264 is an apocalyptic number.

1293264 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 1293264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069808).

1293264 is an abundant number, since it is smaller than the sum of its proper divisors (2846352).

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

1293264 is a wasteful number, since it uses less digits than its factorization.

1293264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1295 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1293264 is about 1137.2176572671. The cubic root of 1293264 is about 108.9504586469.

It can be divided in two parts, 12932 and 64, that added together give a square (12996 = 114²).

The spelling of 1293264 in words is "one million, two hundred ninety-three thousand, two hundred sixty-four".