31029120 has 96 divisors (see below), whose sum is σ = 107167320. Its totient is φ = 8272896.

The previous prime is 31029091. The next prime is 31029121. The reversal of 31029120 is 2192013.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 31029093 and 31029102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31029121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3067 + ... + 8453.

Almost surely, 2^31029120 is an apocalyptic number.

31029120 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 31029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53583660).

31029120 is an abundant number, since it is smaller than the sum of its proper divisors (76138200).

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

31029120 is a wasteful number, since it uses less digits than its factorization.

31029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 31029120 is about 5570.3788022001. The cubic root of 31029120 is about 314.2363968267.

The spelling of 31029120 in words is "thirty-one million, twenty-nine thousand, one hundred twenty".