87484992 has 168 divisors, whose sum is σ = 285621984. Its totient is φ = 23482368.

The previous prime is 87484981. The next prime is 87485011. The reversal of 87484992 is 29948478.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1161216) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159663 + ... + 160209.

Almost surely, 2^87484992 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 87484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142810992).

87484992 is an abundant number, since it is smaller than the sum of its proper divisors (198136992).

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

87484992 is a wasteful number, since it uses less digits than its factorization.

87484992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 87484992 is about 9353.3412211894. The cubic root of 87484992 is about 443.9266172042.

The spelling of 87484992 in words is "eighty-seven million, four hundred eighty-four thousand, nine hundred ninety-two".