32106480 has 160 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 7074816.

The previous prime is 32106479. The next prime is 32106493. The reversal of 32106480 is 8460123.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32106480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48391 + ... + 49049.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 2^32106480 is an apocalyptic number.

32106480 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 32106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

32106480 is an abundant number, since it is smaller than the sum of its proper divisors (85743120).

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

32106480 is a wasteful number, since it uses less digits than its factorization.

32106480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 32106480 is about 5666.2580244814. The cubic root of 32106480 is about 317.8319590005.

The spelling of 32106480 in words is "thirty-two million, one hundred six thousand, four hundred eighty".