32676480 has 256 divisors, whose sum is σ = 121420800. Its totient is φ = 8294400.

The previous prime is 32676463. The next prime is 32676493. The reversal of 32676480 is 8467623.

32676480 is a `hidden beast` number, since 3 + 2 + 6 + 7 + 648 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535650 + ... + 535710.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 2^32676480 is an apocalyptic number.

32676480 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 32676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

32676480 is an abundant number, since it is smaller than the sum of its proper divisors (88744320).

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

32676480 is a wasteful number, since it uses less digits than its factorization.

32676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 32676480 is about 5716.3344898632. The cubic root of 32676480 is about 319.7018055449.

The spelling of 32676480 in words is "thirty-two million, six hundred seventy-six thousand, four hundred eighty".