87935406 has 64 divisors (see below), whose sum is σ = 200503296. Its totient is φ = 25516800.

The previous prime is 87935399. The next prime is 87935443. The reversal of 87935406 is 60453978.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98695 + ... + 99581.

It is an arithmetic number, because the mean of its divisors is an integer number (3132864).

Almost surely, 2^87935406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87935406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100251648).

87935406 is an abundant number, since it is smaller than the sum of its proper divisors (112567890).

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

87935406 is a wasteful number, since it uses less digits than its factorization.

87935406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 87935406 is about 9377.3880158603. The cubic root of 87935406 is about 444.6871613463.

The spelling of 87935406 in words is "eighty-seven million, nine hundred thirty-five thousand, four hundred six".