1632864 has 48 divisors (see below), whose sum is σ = 4363632. Its totient is φ = 534528.

The previous prime is 1632853. The next prime is 1632871. The reversal of 1632864 is 4682361.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6892 + ... + 7124.

It is an arithmetic number, because the mean of its divisors is an integer number (90909).

2^1632864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1632864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181816).

1632864 is an abundant number, since it is smaller than the sum of its proper divisors (2730768).

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

1632864 is a wasteful number, since it uses less digits than its factorization.

1632864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1632864 is about 1277.8356701861. The cubic root of 1632864 is about 117.7560794910.

The spelling of 1632864 in words is "one million, six hundred thirty-two thousand, eight hundred sixty-four".