31680480 has 96 divisors (see below), whose sum is σ = 107491104. Its totient is φ = 7796736.

The previous prime is 31680443. The next prime is 31680487. The reversal of 31680480 is 8408613.

It is a happy number.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31680487) 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, 3702 + ... + 8778.

It is an arithmetic number, because the mean of its divisors is an integer number (1119699).

Almost surely, 2^31680480 is an apocalyptic number.

31680480 is a gapful number since it is divisible by the number (30) 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 31680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53745552).

31680480 is an abundant number, since it is smaller than the sum of its proper divisors (75810624).

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

31680480 is a wasteful number, since it uses less digits than its factorization.

31680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 31680480 is about 5628.5415517699. The cubic root of 31680480 is about 316.4199938032.

The spelling of 31680480 in words is "thirty-one million, six hundred eighty thousand, four hundred eighty".