87121632 has 48 divisors (see below), whose sum is σ = 246289680. Its totient is φ = 26806272.

The previous prime is 87121621. The next prime is 87121633. The reversal of 87121632 is 23612178.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87121632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87121633) 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, 33657 + ... + 36152.

It is an arithmetic number, because the mean of its divisors is an integer number (5131035).

Almost surely, 2^87121632 is an apocalyptic number.

It is an amenable number.

87121632 is an abundant number, since it is smaller than the sum of its proper divisors (159168048).

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

87121632 is a wasteful number, since it uses less digits than its factorization.

87121632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69835 (or 69827 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 87121632 is about 9333.8969353641. The cubic root of 87121632 is about 443.3111630172.

The spelling of 87121632 in words is "eighty-seven million, one hundred twenty-one thousand, six hundred thirty-two".