32672880 has 120 divisors (see below), whose sum is σ = 114555168. Its totient is φ = 8329728.

The previous prime is 32672839. The next prime is 32672911. The reversal of 32672880 is 8827623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15574 + ... + 17546.

Almost surely, 2^32672880 is an apocalyptic number.

32672880 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 32672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57277584).

32672880 is an abundant number, since it is smaller than the sum of its proper divisors (81882288).

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

32672880 is a wasteful number, since it uses less digits than its factorization.

32672880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 32672880 is about 5716.0195940882. The cubic root of 32672880 is about 319.6900644927.

The spelling of 32672880 in words is "thirty-two million, six hundred seventy-two thousand, eight hundred eighty".