31142880 has 192 divisors, whose sum is σ = 111585600. Its totient is φ = 8211456.

The previous prime is 31142869. The next prime is 31142893. The reversal of 31142880 is 8824113.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349876 + ... + 349964.

It is an arithmetic number, because the mean of its divisors is an integer number (581175).

Almost surely, 2^31142880 is an apocalyptic number.

31142880 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 31142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55792800).

31142880 is an abundant number, since it is smaller than the sum of its proper divisors (80442720).

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

31142880 is an frugal number, since it uses more digits than its factorization.

31142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 31142880 is about 5580.5806149540. The cubic root of 31142880 is about 314.6199498139.

Adding to 31142880 its reverse (8824113), we get a palindrome (39966993).

The spelling of 31142880 in words is "thirty-one million, one hundred forty-two thousand, eight hundred eighty".