87706432 has 112 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 36840960.

The previous prime is 87706427. The next prime is 87706433. The reversal of 87706432 is 23460778.

It is a junction number, because it is equal to n+sod(n) for n = 87706391 and 87706400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87706433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1056663 + ... + 1056745.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^87706432 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 87706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

87706432 is an abundant number, since it is smaller than the sum of its proper divisors (117119168).

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

87706432 is a wasteful number, since it uses less digits than its factorization.

87706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 87706432 is about 9365.1712210723. The cubic root of 87706432 is about 444.3008539102.

The spelling of 87706432 in words is "eighty-seven million, seven hundred six thousand, four hundred thirty-two".