32466816 has 48 divisors (see below), whose sum is σ = 93429960. Its totient is φ = 10821888.

The previous prime is 32466767. The next prime is 32466817. The reversal of 32466816 is 61866423.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×32466816⁴ (a number of 31 digits) contains 4444 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32466817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12940 + ... + 15243.

Almost surely, 2^32466816 is an apocalyptic number.

32466816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32466816 is an abundant number, since it is smaller than the sum of its proper divisors (60963144).

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

32466816 is a wasteful number, since it uses less digits than its factorization.

32466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28203 (or 28188 counting only the distinct ones).

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

The square root of 32466816 is about 5697.9659528642. The cubic root of 32466816 is about 319.0165640977.

The spelling of 32466816 in words is "thirty-two million, four hundred sixty-six thousand, eight hundred sixteen".