31482880 has 176 divisors, whose sum is σ = 90788544. Its totient is φ = 10321920.

The previous prime is 31482859. The next prime is 31482889. The reversal of 31482880 is 8828413.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31482889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732139 + ... + 732181.

It is an arithmetic number, because the mean of its divisors is an integer number (515844).

Almost surely, 2^31482880 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 31482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45394272).

31482880 is an abundant number, since it is smaller than the sum of its proper divisors (59305664).

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

31482880 is a wasteful number, since it uses less digits than its factorization.

31482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 31482880 is about 5610.9607020545. The cubic root of 31482880 is about 315.7607546592.

The spelling of 31482880 in words is "thirty-one million, four hundred eighty-two thousand, eight hundred eighty".