32161920 has 128 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 7348224.

The previous prime is 32161907. The next prime is 32161931. The reversal of 32161920 is 2916123.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12244 + ... + 14636.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2^32161920 is an apocalyptic number.

32161920 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 32161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

32161920 is an abundant number, since it is smaller than the sum of its proper divisors (85048320).

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

32161920 is a wasteful number, since it uses less digits than its factorization.

32161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 32161920 is about 5671.1480319244. The cubic root of 32161920 is about 318.0147930304.

The spelling of 32161920 in words is "thirty-two million, one hundred sixty-one thousand, nine hundred twenty".