32412820 has 24 divisors (see below), whose sum is σ = 74255328. Its totient is φ = 11786400.

The previous prime is 32412811. The next prime is 32412823. The reversal of 32412820 is 2821423.

It is a super-3 number, since 3×32412820³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 32412791 and 32412800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32412823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73446 + ... + 73885.

It is an arithmetic number, because the mean of its divisors is an integer number (3093972).

Almost surely, 2^32412820 is an apocalyptic number.

It is an amenable number.

32412820 is an abundant number, since it is smaller than the sum of its proper divisors (41842508).

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

32412820 is a wasteful number, since it uses less digits than its factorization.

32412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147351 (or 147349 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 32412820 is about 5693.2257991406. The cubic root of 32412820 is about 318.8396123796.

The spelling of 32412820 in words is "thirty-two million, four hundred twelve thousand, eight hundred twenty".