84510960 has 160 divisors (see below), whose sum is σ = 278648832. Its totient is φ = 21150720.

The previous prime is 84510949. The next prime is 84510971. The reversal of 84510960 is 6901548.

It is an interprime number because it is at equal distance from previous prime (84510949) and next prime (84510971).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275127 + ... + 275433.

Almost surely, 2^84510960 is an apocalyptic number.

84510960 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 84510960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139324416).

84510960 is an abundant number, since it is smaller than the sum of its proper divisors (194137872).

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

84510960 is a wasteful number, since it uses less digits than its factorization.

84510960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 84510960 is about 9192.9842815051. The cubic root of 84510960 is about 438.8381191666.

The spelling of 84510960 in words is "eighty-four million, five hundred ten thousand, nine hundred sixty".