87054660 has 216 divisors, whose sum is σ = 332299968. Its totient is φ = 18057600.

The previous prime is 87054647. The next prime is 87054689. The reversal of 87054660 is 6645078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152175 + ... + 152745.

Almost surely, 2^87054660 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 87054660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166149984).

87054660 is an abundant number, since it is smaller than the sum of its proper divisors (245245308).

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

87054660 is a wasteful number, since it uses less digits than its factorization.

87054660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87054660 is about 9330.3086765659. The cubic root of 87054660 is about 443.1975400842.

The spelling of 87054660 in words is "eighty-seven million, fifty-four thousand, six hundred sixty".