84026880 has 240 divisors, whose sum is σ = 333219744. Its totient is φ = 19169280.

The previous prime is 84026879. The next prime is 84026881. The reversal of 84026880 is 8862048.

It is an interprime number because it is at equal distance from previous prime (84026879) and next prime (84026881).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84026881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161020 + ... + 161540.

Almost surely, 2^84026880 is an apocalyptic number.

84026880 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 84026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166609872).

84026880 is an abundant number, since it is smaller than the sum of its proper divisors (249192864).

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

84026880 is a wasteful number, since it uses less digits than its factorization.

84026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 84026880 is about 9166.6176968389. The cubic root of 84026880 is about 437.9986238776.

The spelling of 84026880 in words is "eighty-four million, twenty-six thousand, eight hundred eighty".