87633948 has 12 divisors (see below), whose sum is σ = 204479240. Its totient is φ = 29211312.

The previous prime is 87633919. The next prime is 87633977. The reversal of 87633948 is 84933678.

It is an interprime number because it is at equal distance from previous prime (87633919) and next prime (87633977).

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 87633897 and 87633906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3651403 + ... + 3651426.

Almost surely, 2^87633948 is an apocalyptic number.

It is an amenable number.

87633948 is an abundant number, since it is smaller than the sum of its proper divisors (116845292).

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

87633948 is a wasteful number, since it uses less digits than its factorization.

87633948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302836 (or 7302834 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 87633948 is about 9361.3005506714. The cubic root of 87633948 is about 444.1784243530.

Adding to 87633948 its product of digits (870912), we get a triangular number (88504860 = T₁₃₃₀₄).

The spelling of 87633948 in words is "eighty-seven million, six hundred thirty-three thousand, nine hundred forty-eight".