31380480 has 176 divisors, whose sum is σ = 112011840. Its totient is φ = 8331264.

The previous prime is 31380473. The next prime is 31380491. The reversal of 31380480 is 8408313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 138127 + ... + 138353.

Almost surely, 2^31380480 is an apocalyptic number.

31380480 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 31380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56005920).

31380480 is an abundant number, since it is smaller than the sum of its proper divisors (80631360).

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

31380480 is a wasteful number, since it uses less digits than its factorization.

31380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 31380480 is about 5601.8282729837. The cubic root of 31380480 is about 315.4180390758.

Adding to 31380480 its reverse (8408313), we get a palindrome (39788793).

The spelling of 31380480 in words is "thirty-one million, three hundred eighty thousand, four hundred eighty".