31672320 has 96 divisors (see below), whose sum is σ = 101424960. Its totient is φ = 8437760.

The previous prime is 31672273. The next prime is 31672331. The reversal of 31672320 is 2327613.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30205 + ... + 31235.

It is an arithmetic number, because the mean of its divisors is an integer number (1056510).

Almost surely, 2^31672320 is an apocalyptic number.

31672320 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 31672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50712480).

31672320 is an abundant number, since it is smaller than the sum of its proper divisors (69752640).

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

31672320 is a wasteful number, since it uses less digits than its factorization.

31672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 31672320 is about 5627.8166281427. The cubic root of 31672320 is about 316.3928245088.

Adding to 31672320 its reverse (2327613), we get a palindrome (33999933).

The spelling of 31672320 in words is "thirty-one million, six hundred seventy-two thousand, three hundred twenty".