87834240 has 512 divisors, whose sum is σ = 370137600. Its totient is φ = 19464192.

The previous prime is 87834233. The next prime is 87834277. The reversal of 87834240 is 4243878.

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 = 87834195 and 87834204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818869 + ... + 3818891.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^87834240 is an apocalyptic number.

87834240 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 87834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

87834240 is an abundant number, since it is smaller than the sum of its proper divisors (282303360).

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

87834240 is a wasteful number, since it uses less digits than its factorization.

87834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 87834240 is about 9371.9923175385. The cubic root of 87834240 is about 444.5165645927.

The spelling of 87834240 in words is "eighty-seven million, eight hundred thirty-four thousand, two hundred forty".