87241840 has 80 divisors (see below), whose sum is σ = 237270528. Its totient is φ = 29207808.

The previous prime is 87241813. The next prime is 87241849. The reversal of 87241840 is 4814278.

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

It is a super-2 number, since 2×87241840² = 15222277293171200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87241796 and 87241805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87241849) 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, 22269 + ... + 25891.

Almost surely, 2^87241840 is an apocalyptic number.

87241840 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 87241840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118635264).

87241840 is an abundant number, since it is smaller than the sum of its proper divisors (150028688).

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

87241840 is a wasteful number, since it uses less digits than its factorization.

87241840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 87241840 is about 9340.3340411358. The cubic root of 87241840 is about 443.5149587783.

The spelling of 87241840 in words is "eighty-seven million, two hundred forty-one thousand, eight hundred forty".