1293840 has 80 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 344448.

The previous prime is 1293839. The next prime is 1293841. The reversal of 1293840 is 483921.

It is an interprime number because it is at equal distance from previous prime (1293839) and next prime (1293841).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1293841) 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, 1861 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2^1293840 is an apocalyptic number.

1293840 is a gapful number since it is divisible by the number (10) 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 1293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

1293840 is an abundant number, since it is smaller than the sum of its proper divisors (3170160).

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

1293840 is a wasteful number, since it uses less digits than its factorization.

1293840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1293840 is about 1137.4708787481. The cubic root of 1293840 is about 108.9666312019.

It can be divided in two parts, 129 and 3840, that added together give a square (3969 = 63²).

The spelling of 1293840 in words is "one million, two hundred ninety-three thousand, eight hundred forty".