1632480 has 96 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 410112.

The previous prime is 1632479. The next prime is 1632481. The reversal of 1632480 is 842361.

1632480 = T₄₀₅ + T₄₀₆ + ... + T₄₂₃.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1632479) and next prime (1632481).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1632480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9031 + ... + 9209.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1632480 is an apocalyptic number.

1632480 is a gapful number since it is divisible by the number (10) 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 1632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

1632480 is an abundant number, since it is smaller than the sum of its proper divisors (3810720).

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

1632480 is a wasteful number, since it uses less digits than its factorization.

1632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

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

The square root of 1632480 is about 1277.6854072893. The cubic root of 1632480 is about 117.7468478833.

It can be divided in two parts, 1632 and 480, that added together give a palindrome (2112).

The spelling of 1632480 in words is "one million, six hundred thirty-two thousand, four hundred eighty".