87963040 has 192 divisors, whose sum is σ = 246903552. Its totient is φ = 29286400.

The previous prime is 87963013. The next prime is 87963047. The reversal of 87963040 is 4036978.

It is not an unprimeable number, because it can be changed into a prime (87963047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1659654 + ... + 1659706.

It is an arithmetic number, because the mean of its divisors is an integer number (1285956).

Almost surely, 2^87963040 is an apocalyptic number.

87963040 is a gapful number since it is divisible by the number (80) 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 87963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123451776).

87963040 is an abundant number, since it is smaller than the sum of its proper divisors (158940512).

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

87963040 is a wasteful number, since it uses less digits than its factorization.

87963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 87963040 is about 9378.8613381369. The cubic root of 87963040 is about 444.7337379513.

The spelling of 87963040 in words is "eighty-seven million, nine hundred sixty-three thousand, forty".