84214080 has 294 divisors, whose sum is σ = 317321946. Its totient is φ = 21275136.

The previous prime is 84214069. The next prime is 84214093. The reversal of 84214080 is 8041248.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 16842816 = 8208^2 + 4104^2 .

It is a super-2 number, since 2×84214080² = 14184022540492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 41 ways as a sum of consecutive naturals, for example, 4432311 + ... + 4432329.

Almost surely, 2^84214080 is an apocalyptic number.

84214080 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 84214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158660973).

84214080 is an abundant number, since it is smaller than the sum of its proper divisors (233107866).

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

84214080 is an equidigital number, since it uses as much as digits as its factorization.

84214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84214080 is about 9176.8229796591. The cubic root of 84214080 is about 438.3236489481.

The spelling of 84214080 in words is "eighty-four million, two hundred fourteen thousand, eighty".