87538144 has 24 divisors (see below), whose sum is σ = 172564560. Its totient is φ = 43712256.

The previous prime is 87538127. The next prime is 87538147. The reversal of 87538144 is 44183578.

It is a junction number, because it is equal to n+sod(n) for n = 87538097 and 87538106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87538147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34917 + ... + 37339.

It is an arithmetic number, because the mean of its divisors is an integer number (7190190).

Almost surely, 2^87538144 is an apocalyptic number.

It is an amenable number.

87538144 is a deficient number, since it is larger than the sum of its proper divisors (85026416).

87538144 is a wasteful number, since it uses less digits than its factorization.

87538144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3554 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 87538144 is about 9356.1821273423. The cubic root of 87538144 is about 444.0165023761.

The spelling of 87538144 in words is "eighty-seven million, five hundred thirty-eight thousand, one hundred forty-four".