80406432 has 120 divisors (see below), whose sum is σ = 240520896. Its totient is φ = 26345088.

The previous prime is 80406409. The next prime is 80406449. The reversal of 80406432 is 23460408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 80406396 and 80406405.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 173433 + ... + 173895.

Almost surely, 2^80406432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120260448).

80406432 is an abundant number, since it is smaller than the sum of its proper divisors (160114464).

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

80406432 is a wasteful number, since it uses less digits than its factorization.

80406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 80406432 is about 8966.9633655993. The cubic root of 80406432 is about 431.6153984387.

The spelling of 80406432 in words is "eighty million, four hundred six thousand, four hundred thirty-two".