87537460 has 24 divisors (see below), whose sum is σ = 188314056. Its totient is φ = 34160640.

The previous prime is 87537433. The next prime is 87537469. The reversal of 87537460 is 6473578.

It can be written as a sum of positive squares in 4 ways, for example, as 1493284 + 86044176 = 1222^2 + 9276^2 .

It is a super-3 number, since 3×87537460³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87537469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52557 + ... + 54196.

It is an arithmetic number, because the mean of its divisors is an integer number (7846419).

Almost surely, 2^87537460 is an apocalyptic number.

It is an amenable number.

87537460 is an abundant number, since it is smaller than the sum of its proper divisors (100776596).

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

87537460 is a wasteful number, since it uses less digits than its factorization.

87537460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106803 (or 106801 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 87537460 is about 9356.1455738995. The cubic root of 87537460 is about 444.0153458971.

The spelling of 87537460 in words is "eighty-seven million, five hundred thirty-seven thousand, four hundred sixty".