87284940 has 48 divisors (see below), whose sum is σ = 244940640. Its totient is φ = 23224320.

The previous prime is 87284921. The next prime is 87284947. The reversal of 87284940 is 4948278.

It is a super-3 number, since 3×87284940³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87284892 and 87284901.

It is not an unprimeable number, because it can be changed into a prime (87284947) 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, 31116 + ... + 33804.

It is an arithmetic number, because the mean of its divisors is an integer number (5102930).

Almost surely, 2^87284940 is an apocalyptic number.

It is an amenable number.

87284940 is an abundant number, since it is smaller than the sum of its proper divisors (157655700).

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

87284940 is a wasteful number, since it uses less digits than its factorization.

87284940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3240 counting only the distinct ones).

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

The square root of 87284940 is about 9342.6409542484. The cubic root of 87284940 is about 443.5879831731.

The spelling of 87284940 in words is "eighty-seven million, two hundred eighty-four thousand, nine hundred forty".