1292416 has 32 divisors (see below), whose sum is σ = 2692800. Its totient is φ = 616704.

The previous prime is 1292387. The next prime is 1292419. The reversal of 1292416 is 6142921.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1292419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2725 + ... + 3163.

It is an arithmetic number, because the mean of its divisors is an integer number (84150).

2^1292416 is an apocalyptic number.

1292416 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 1292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346400).

1292416 is an abundant number, since it is smaller than the sum of its proper divisors (1400384).

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

1292416 is an equidigital number, since it uses as much as digits as its factorization.

1292416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 1292416 is about 1136.8447563322. The cubic root of 1292416 is about 108.9266403108.

The spelling of 1292416 in words is "one million, two hundred ninety-two thousand, four hundred sixteen".