84993840 has 240 divisors, whose sum is σ = 311810400. Its totient is φ = 21275136.

The previous prime is 84993803. The next prime is 84993851. The reversal of 84993840 is 4839948.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779706 + ... + 779814.

It is an arithmetic number, because the mean of its divisors is an integer number (1299210).

Almost surely, 2^84993840 is an apocalyptic number.

84993840 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 84993840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155905200).

84993840 is an abundant number, since it is smaller than the sum of its proper divisors (226816560).

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

84993840 is a wasteful number, since it uses less digits than its factorization.

84993840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 84993840 is about 9219.2103783350. The cubic root of 84993840 is about 439.6723455981.

The spelling of 84993840 in words is "eighty-four million, nine hundred ninety-three thousand, eight hundred forty".