84987760 has 320 divisors, whose sum is σ = 269982720. Its totient is φ = 24330240.

The previous prime is 84987751. The next prime is 84987769. The reversal of 84987760 is 6778948.

It is an interprime number because it is at equal distance from previous prime (84987751) and next prime (84987769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84987769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3695109 + ... + 3695131.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^84987760 is an apocalyptic number.

84987760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

84987760 is an abundant number, since it is smaller than the sum of its proper divisors (184994960).

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

84987760 is a wasteful number, since it uses less digits than its factorization.

84987760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 84987760 is about 9218.8806261932. The cubic root of 84987760 is about 439.6618614203.

The spelling of 84987760 in words is "eighty-four million, nine hundred eighty-seven thousand, seven hundred sixty".