84291840 has 216 divisors, whose sum is σ = 303558528. Its totient is φ = 22394880.

The previous prime is 84291827. The next prime is 84291863. The reversal of 84291840 is 4819248.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×84291840² = 14210228581171200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 84291795 and 84291804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310905 + ... + 311175.

Almost surely, 2^84291840 is an apocalyptic number.

84291840 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 84291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151779264).

84291840 is an abundant number, since it is smaller than the sum of its proper divisors (219266688).

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

84291840 is an equidigital number, since it uses as much as digits as its factorization.

84291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 84291840 is about 9181.0587624740. The cubic root of 84291840 is about 438.4585177716.

The spelling of 84291840 in words is "eighty-four million, two hundred ninety-one thousand, eight hundred forty".