87935040 has 168 divisors, whose sum is σ = 318576960. Its totient is φ = 22201344.

The previous prime is 87935027. The next prime is 87935041. The reversal of 87935040 is 4053978.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87934986 and 87935004.

It is not an unprimeable number, because it can be changed into a prime (87935041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53917 + ... + 55523.

Almost surely, 2^87935040 is an apocalyptic number.

87935040 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 87935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159288480).

87935040 is an abundant number, since it is smaller than the sum of its proper divisors (230641920).

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

87935040 is a wasteful number, since it uses less digits than its factorization.

87935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87935040 is about 9377.3685008109. The cubic root of 87935040 is about 444.6865443945.

The spelling of 87935040 in words is "eighty-seven million, nine hundred thirty-five thousand, forty".