84950160 has 80 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 22543360.

The previous prime is 84950119. The next prime is 84950167. The reversal of 84950160 is 6105948.

84950160 = T₃₄₁ + T₃₄₂ + ... + T₈₁₈.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (84950167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56620 + ... + 58100.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2^84950160 is an apocalyptic number.

84950160 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 84950160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

84950160 is an abundant number, since it is smaller than the sum of its proper divisors (179675760).

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

84950160 is a wasteful number, since it uses less digits than its factorization.

84950160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

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

The square root of 84950160 is about 9216.8411074511. The cubic root of 84950160 is about 439.5970139470.

The spelling of 84950160 in words is "eighty-four million, nine hundred fifty thousand, one hundred sixty".