84914160 has 80 divisors (see below), whose sum is σ = 274696704. Its totient is φ = 21657856.

The previous prime is 84914153. The next prime is 84914171. The reversal of 84914160 is 6141948.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172 + ... + 13211.

Almost surely, 2^84914160 is an apocalyptic number.

84914160 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 84914160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137348352).

84914160 is an abundant number, since it is smaller than the sum of its proper divisors (189782544).

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

84914160 is a wasteful number, since it uses less digits than its factorization.

84914160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15422 (or 15416 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 84914160 is about 9214.8879537409. The cubic root of 84914160 is about 439.5349080073.

The spelling of 84914160 in words is "eighty-four million, nine hundred fourteen thousand, one hundred sixty".