1264416 has 24 divisors (see below), whose sum is σ = 3319344. Its totient is φ = 421440.

The previous prime is 1264411. The next prime is 1264447. The reversal of 1264416 is 6144621.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (1264411) 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, 6490 + ... + 6681.

It is an arithmetic number, because the mean of its divisors is an integer number (138306).

2^1264416 is an apocalyptic number.

1264416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1264416 is an abundant number, since it is smaller than the sum of its proper divisors (2054928).

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

1264416 is a wasteful number, since it uses less digits than its factorization.

1264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13184 (or 13176 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1264416 is about 1124.4625382822. The cubic root of 1264416 is about 108.1342637435.

The spelling of 1264416 in words is "one million, two hundred sixty-four thousand, four hundred sixteen".