32468616 has 48 divisors (see below), whose sum is σ = 88861500. Its totient is φ = 10708992.

The previous prime is 32468599. The next prime is 32468633. The reversal of 32468616 is 61686423.

32468616 is a `hidden beast` number, since 32 + 4 + 6 + 8 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (32468599) and next prime (32468633).

It can be written as a sum of positive squares in 2 ways, for example, as 29746116 + 2722500 = 5454^2 + 1650^2 .

It is a super-2 number, since 2×32468616² = 2108422049910912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4660 + ... + 9308.

Almost surely, 2^32468616 is an apocalyptic number.

32468616 is a gapful number since it is divisible by the number (36) 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 32468616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44430750).

32468616 is an abundant number, since it is smaller than the sum of its proper divisors (56392884).

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

32468616 is a wasteful number, since it uses less digits than its factorization.

32468616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4751 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 32468616 is about 5698.1239017768. The cubic root of 32468616 is about 319.0224595449.

The spelling of 32468616 in words is "thirty-two million, four hundred sixty-eight thousand, six hundred sixteen".