87663744 has 144 divisors (see below), whose sum is σ = 293636070. Its totient is φ = 25030656.

The previous prime is 87663727. The next prime is 87663757. The reversal of 87663744 is 44736678.

87663744 is a `hidden beast` number, since 8 + 7 + 6 + 637 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 2286144 = 9240^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 87663744.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55672 + ... + 57224.

Almost surely, 2^87663744 is an apocalyptic number.

87663744 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146818035).

87663744 is an abundant number, since it is smaller than the sum of its proper divisors (205972326).

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

87663744 is a wasteful number, since it uses less digits than its factorization.

87663744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1565 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 87663744 is about 9362.8918609583. The cubic root of 87663744 is about 444.2287596434.

It can be divided in two parts, 876 and 63744, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 87663744 in words is "eighty-seven million, six hundred sixty-three thousand, seven hundred forty-four".