31006080 has 192 divisors, whose sum is σ = 122522400. Its totient is φ = 7077888.

The previous prime is 31006069. The next prime is 31006109. The reversal of 31006080 is 8060013.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×31006080² = 1922753993932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 39936 + ... + 40704.

Almost surely, 2^31006080 is an apocalyptic number.

31006080 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 31006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61261200).

31006080 is an abundant number, since it is smaller than the sum of its proper divisors (91516320).

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

31006080 is a wasteful number, since it uses less digits than its factorization.

31006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31006080 is about 5568.3103361792. The cubic root of 31006080 is about 314.1586010949.

Adding to 31006080 its reverse (8060013), we get a palindrome (39066093).

It can be divided in two parts, 3100 and 6080, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 31006080 in words is "thirty-one million, six thousand, eighty".