83648160 has 288 divisors, whose sum is σ = 315645120. Its totient is φ = 20680704.

The previous prime is 83648119. The next prime is 83648161. The reversal of 83648160 is 6184638.

It is a happy number.

83648160 is a `hidden beast` number, since 8 + 3 + 648 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83648161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248447 + ... + 1248513.

It is an arithmetic number, because the mean of its divisors is an integer number (1095990).

Almost surely, 2^83648160 is an apocalyptic number.

83648160 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 83648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157822560).

83648160 is an abundant number, since it is smaller than the sum of its proper divisors (231996960).

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

83648160 is a wasteful number, since it uses less digits than its factorization.

83648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83648160 is about 9145.9368027556. The cubic root of 83648160 is about 437.3395939847.

The spelling of 83648160 in words is "eighty-three million, six hundred forty-eight thousand, one hundred sixty".