84101760 has 256 divisors, whose sum is σ = 309427200. Its totient is φ = 21565440.

The previous prime is 84101749. The next prime is 84101803. The reversal of 84101760 is 6710148.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 535602 + ... + 535758.

It is an arithmetic number, because the mean of its divisors is an integer number (1208700).

Almost surely, 2^84101760 is an apocalyptic number.

84101760 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 84101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154713600).

84101760 is an abundant number, since it is smaller than the sum of its proper divisors (225325440).

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

84101760 is a wasteful number, since it uses less digits than its factorization.

84101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 84101760 is about 9170.7011727566. The cubic root of 84101760 is about 438.1286917773.

The spelling of 84101760 in words is "eighty-four million, one hundred one thousand, seven hundred sixty".