1601264 has 60 divisors (see below), whose sum is σ = 3888144. Its totient is φ = 623616.

The previous prime is 1601261. The next prime is 1601267. The reversal of 1601264 is 4621061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1601261) and next prime (1601267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601261) 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 11 ways as a sum of consecutive naturals, for example, 55202 + ... + 55230.

2^1601264 is an apocalyptic number.

1601264 is a gapful number since it is divisible by the number (14) 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 1601264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944072).

1601264 is an abundant number, since it is smaller than the sum of its proper divisors (2286880).

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

1601264 is a wasteful number, since it uses less digits than its factorization.

1601264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1601264 is about 1265.4106052977. The cubic root of 1601264 is about 116.9915010750.

The spelling of 1601264 in words is "one million, six hundred one thousand, two hundred sixty-four".