87450240 has 128 divisors (see below), whose sum is σ = 286513920. Its totient is φ = 22671360.

The previous prime is 87450239. The next prime is 87450241. The reversal of 87450240 is 4205478.

It is an interprime number because it is at equal distance from previous prime (87450239) and next prime (87450241).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87450198 and 87450207.

It is not an unprimeable number, because it can be changed into a prime (87450241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70425 + ... + 71655.

It is an arithmetic number, because the mean of its divisors is an integer number (2238390).

Almost surely, 2^87450240 is an apocalyptic number.

87450240 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 87450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143256960).

87450240 is an abundant number, since it is smaller than the sum of its proper divisors (199063680).

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

87450240 is a wasteful number, since it uses less digits than its factorization.

87450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 87450240 is about 9351.4833048025. The cubic root of 87450240 is about 443.8678285265.

The spelling of 87450240 in words is "eighty-seven million, four hundred fifty thousand, two hundred forty".