1293391872 has 144 divisors (see below), whose sum is σ = 3817588320. Its totient is φ = 421675008.

The previous prime is 1293391861. The next prime is 1293391927. The reversal of 1293391872 is 2781933921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 865558 + ... + 867050.

It is an arithmetic number, because the mean of its divisors is an integer number (26511030).

Almost surely, 2^1293391872 is an apocalyptic number.

1293391872 is a gapful number since it is divisible by the number (12) 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 1293391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908794160).

1293391872 is an abundant number, since it is smaller than the sum of its proper divisors (2524196448).

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

1293391872 is a wasteful number, since it uses less digits than its factorization.

1293391872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1545 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1293391872 is about 35963.7577569419. The cubic root of 1293391872 is about 1089.5404936872.

The spelling of 1293391872 in words is "one billion, two hundred ninety-three million, three hundred ninety-one thousand, eight hundred seventy-two".