87629856 has 48 divisors (see below), whose sum is σ = 230535648. Its totient is φ = 29145600.

The previous prime is 87629821. The next prime is 87629869. The reversal of 87629856 is 65892678.

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

It is a junction number, because it is equal to n+sod(n) for n = 87629799 and 87629808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65676 + ... + 66996.

It is an arithmetic number, because the mean of its divisors is an integer number (4802826).

Almost surely, 2^87629856 is an apocalyptic number.

It is an amenable number.

87629856 is an abundant number, since it is smaller than the sum of its proper divisors (142905792).

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

87629856 is a wasteful number, since it uses less digits than its factorization.

87629856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2017 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 87629856 is about 9361.0819887447. The cubic root of 87629856 is about 444.1715107218.

The spelling of 87629856 in words is "eighty-seven million, six hundred twenty-nine thousand, eight hundred fifty-six".