87835440 has 320 divisors, whose sum is σ = 349977600. Its totient is φ = 18063360.

The previous prime is 87835421. The next prime is 87835513. The reversal of 87835440 is 4453878.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 905472 + ... + 905568.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^87835440 is an apocalyptic number.

87835440 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 87835440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

87835440 is an abundant number, since it is smaller than the sum of its proper divisors (262142160).

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

87835440 is a wasteful number, since it uses less digits than its factorization.

87835440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 87835440 is about 9372.0563378588. The cubic root of 87835440 is about 444.5185889264.

The spelling of 87835440 in words is "eighty-seven million, eight hundred thirty-five thousand, four hundred forty".