1293712416 has 72 divisors (see below), whose sum is σ = 3685906224. Its totient is φ = 430427520.

The previous prime is 1293712369. The next prime is 1293712421. The reversal of 1293712416 is 6142173921.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160515 + ... + 168381.

It is an arithmetic number, because the mean of its divisors is an integer number (51193142).

Almost surely, 2^1293712416 is an apocalyptic number.

1293712416 is a gapful number since it is divisible by the number (16) 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 1293712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842953112).

1293712416 is an abundant number, since it is smaller than the sum of its proper divisors (2392193808).

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

1293712416 is a wasteful number, since it uses less digits than its factorization.

1293712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454 (or 8443 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1293712416 is about 35968.2139673351. The cubic root of 1293712416 is about 1089.6304939489.

The spelling of 1293712416 in words is "one billion, two hundred ninety-three million, seven hundred twelve thousand, four hundred sixteen".