1293984 has 36 divisors (see below), whose sum is σ = 3680586. Its totient is φ = 431232.

The previous prime is 1293983. The next prime is 1294019. The reversal of 1293984 is 4893921.

1293984 = T₂₉₆ + T₂₉₇ + ... + T₃₂₂.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 608400 = 828^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (1293983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1959 + ... + 2534.

2^1293984 is an apocalyptic number.

It is an amenable number.

1293984 is an abundant number, since it is smaller than the sum of its proper divisors (2386602).

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

1293984 is a wasteful number, since it uses less digits than its factorization.

1293984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4498 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1293984 is about 1137.5341753108. The cubic root of 1293984 is about 108.9706735907.

The spelling of 1293984 in words is "one million, two hundred ninety-three thousand, nine hundred eighty-four".