84238960 has 80 divisors (see below), whose sum is σ = 213173856. Its totient is φ = 30772224.

The previous prime is 84238943. The next prime is 84238963. The reversal of 84238960 is 6983248.

84238960 = T₂₇₂ + T₂₇₃ + ... + T₈₀₆.

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

It is a super-3 number, since 3×84238960³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84238963) 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, 110902 + ... + 111658.

Almost surely, 2^84238960 is an apocalyptic number.

84238960 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 84238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106586928).

84238960 is an abundant number, since it is smaller than the sum of its proper divisors (128934896).

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

84238960 is a wasteful number, since it uses less digits than its factorization.

84238960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 84238960 is about 9178.1784685198. The cubic root of 84238960 is about 438.3668104503.

The spelling of 84238960 in words is "eighty-four million, two hundred thirty-eight thousand, nine hundred sixty".