31441920 has 176 divisors, whose sum is σ = 106116480. Its totient is φ = 7929856.

The previous prime is 31441909. The next prime is 31441931. The reversal of 31441920 is 2914413.

It is an interprime number because it is at equal distance from previous prime (31441909) and next prime (31441931).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 353236 + ... + 353324.

Almost surely, 2^31441920 is an apocalyptic number.

31441920 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 31441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53058240).

31441920 is an abundant number, since it is smaller than the sum of its proper divisors (74674560).

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

31441920 is a wasteful number, since it uses less digits than its factorization.

31441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 31441920 is about 5607.3095152667. The cubic root of 31441920 is about 315.6237577313.

The spelling of 31441920 in words is "thirty-one million, four hundred forty-one thousand, nine hundred twenty".