31672080 has 320 divisors, whose sum is σ = 125706240. Its totient is φ = 7257600.

The previous prime is 31672073. The next prime is 31672087. The reversal of 31672080 is 8027613.

It is an interprime number because it is at equal distance from previous prime (31672073) and next prime (31672087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31672087) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 736539 + ... + 736581.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 2^31672080 is an apocalyptic number.

31672080 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 31672080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

31672080 is an abundant number, since it is smaller than the sum of its proper divisors (94034160).

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

31672080 is a wasteful number, since it uses less digits than its factorization.

31672080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 31672080 is about 5627.7953054460. The cubic root of 31672080 is about 316.3920253413.

Adding to 31672080 its reverse (8027613), we get a palindrome (39699693).

The spelling of 31672080 in words is "thirty-one million, six hundred seventy-two thousand, eighty".