84601760 has 48 divisors (see below), whose sum is σ = 200831400. Its totient is φ = 33678336.

The previous prime is 84601711. The next prime is 84601763. The reversal of 84601760 is 6710648.

It can be written as a sum of positive squares in 4 ways, for example, as 84566416 + 35344 = 9196^2 + 188^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84601763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35486 + ... + 37794.

Almost surely, 2^84601760 is an apocalyptic number.

84601760 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 84601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100415700).

84601760 is an abundant number, since it is smaller than the sum of its proper divisors (116229640).

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

84601760 is a wasteful number, since it uses less digits than its factorization.

84601760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 84601760 is about 9197.9215043400. The cubic root of 84601760 is about 438.9952279375.

The spelling of 84601760 in words is "eighty-four million, six hundred one thousand, seven hundred sixty".