87361648 has 40 divisors (see below), whose sum is σ = 186416640. Its totient is φ = 39330240.

The previous prime is 87361633. The next prime is 87361661. The reversal of 87361648 is 84616378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16513 + ... + 21151.

It is an arithmetic number, because the mean of its divisors is an integer number (4660416).

Almost surely, 2^87361648 is an apocalyptic number.

87361648 is a gapful number since it is divisible by the number (88) 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 87361648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93208320).

87361648 is an abundant number, since it is smaller than the sum of its proper divisors (99054992).

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

87361648 is a wasteful number, since it uses less digits than its factorization.

87361648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4759 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 87361648 is about 9346.7453158840. The cubic root of 87361648 is about 443.7178902111.

The spelling of 87361648 in words is "eighty-seven million, three hundred sixty-one thousand, six hundred forty-eight".