87414240 has 96 divisors (see below), whose sum is σ = 276786720. Its totient is φ = 23189504.

The previous prime is 87414199. The next prime is 87414247. The reversal of 87414240 is 4241478.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 87414198 and 87414207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87414247) 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, 128782 + ... + 129458.

It is an arithmetic number, because the mean of its divisors is an integer number (2883195).

Almost surely, 2^87414240 is an apocalyptic number.

87414240 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 87414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138393360).

87414240 is an abundant number, since it is smaller than the sum of its proper divisors (189372480).

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

87414240 is a wasteful number, since it uses less digits than its factorization.

87414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 87414240 is about 9349.5582783359. The cubic root of 87414240 is about 443.8069122271.

The spelling of 87414240 in words is "eighty-seven million, four hundred fourteen thousand, two hundred forty".