87348240 has 320 divisors, whose sum is σ = 353548800. Its totient is φ = 19408896.

The previous prime is 87348197. The next prime is 87348257. The reversal of 87348240 is 4284378.

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 = 87348195 and 87348204.

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, 801306 + ... + 801414.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 2^87348240 is an apocalyptic number.

87348240 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 87348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

87348240 is an abundant number, since it is smaller than the sum of its proper divisors (266200560).

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

87348240 is a wasteful number, since it uses less digits than its factorization.

87348240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

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

The square root of 87348240 is about 9346.0280333412. The cubic root of 87348240 is about 443.6951888924.

The spelling of 87348240 in words is "eighty-seven million, three hundred forty-eight thousand, two hundred forty".