877632 has 56 divisors (see below), whose sum is σ = 2657856. Its totient is φ = 250368.

The previous prime is 877621. The next prime is 877651. The reversal of 877632 is 236778.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 10 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 877593 and 877602.

It is an unprimeable number.

877632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018 + ... + 1670.

2⁸⁷⁷⁶³² 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 877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328928).

877632 is an abundant number, since it is smaller than the sum of its proper divisors (1780224).

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

877632 is a wasteful number, since it uses less digits than its factorization.

877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 877632 is about 936.8201534980. The cubic root of 877632 is about 95.7423647583.

The spelling of 877632 in words is "eight hundred seventy-seven thousand, six hundred thirty-two".