87498240 has 80 divisors (see below), whose sum is σ = 279745488. Its totient is φ = 23330816.

The previous prime is 87498209. The next prime is 87498241. The reversal of 87498240 is 4289478.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 87498192 and 87498201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87498241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1984 + ... + 13376.

Almost surely, 2^87498240 is an apocalyptic number.

87498240 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 87498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139872744).

87498240 is an abundant number, since it is smaller than the sum of its proper divisors (192247248).

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

87498240 is a wasteful number, since it uses less digits than its factorization.

87498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11419 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87498240 is about 9354.0493905046. The cubic root of 87498240 is about 443.9490242589.

The spelling of 87498240 in words is "eighty-seven million, four hundred ninety-eight thousand, two hundred forty".