87229632 has 112 divisors (see below), whose sum is σ = 270369792. Its totient is φ = 24299520.

The previous prime is 87229621. The next prime is 87229633. The reversal of 87229632 is 23692278.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (87229633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54313 + ... + 55895.

It is an arithmetic number, because the mean of its divisors is an integer number (2414016).

Almost surely, 2^87229632 is an apocalyptic number.

87229632 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87229632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

87229632 is an abundant number, since it is smaller than the sum of its proper divisors (183140160).

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

87229632 is a wasteful number, since it uses less digits than its factorization.

87229632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1636 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 87229632 is about 9339.6805084542. The cubic root of 87229632 is about 443.4942703747.

The spelling of 87229632 in words is "eighty-seven million, two hundred twenty-nine thousand, six hundred thirty-two".