87603040 has 192 divisors, whose sum is σ = 258660864. Its totient is φ = 27353088.

The previous prime is 87603031. The next prime is 87603041. The reversal of 87603040 is 4030678.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87603041) 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, 818667 + ... + 818773.

It is an arithmetic number, because the mean of its divisors is an integer number (1347192).

Almost surely, 2^87603040 is an apocalyptic number.

87603040 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 87603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129330432).

87603040 is an abundant number, since it is smaller than the sum of its proper divisors (171057824).

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

87603040 is a wasteful number, since it uses less digits than its factorization.

87603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 87603040 is about 9359.6495660895. The cubic root of 87603040 is about 444.1261984696.

The spelling of 87603040 in words is "eighty-seven million, six hundred three thousand, forty".