87669540 has 168 divisors, whose sum is σ = 315833280. Its totient is φ = 20015424.

The previous prime is 87669503. The next prime is 87669541. The reversal of 87669540 is 4596678.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87669541) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101631 + ... + 102489.

It is an arithmetic number, because the mean of its divisors is an integer number (1879960).

Almost surely, 2^87669540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87669540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157916640).

87669540 is an abundant number, since it is smaller than the sum of its proper divisors (228163740).

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

87669540 is a wasteful number, since it uses less digits than its factorization.

87669540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 87669540 is about 9363.2013755980. The cubic root of 87669540 is about 444.2385496776.

It can be divided in two parts, 87669 and 540, that added together give a square (88209 = 297²).

The spelling of 87669540 in words is "eighty-seven million, six hundred sixty-nine thousand, five hundred forty".