84853440 has 448 divisors, whose sum is σ = 362833920. Its totient is φ = 18247680.

The previous prime is 84853429. The next prime is 84853451. The reversal of 84853440 is 4435848.

84853440 is a `hidden beast` number, since 84 + 8 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (84853429) and next prime (84853451).

It is a tau number, because it is divible by the number of its divisors (448).

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 = 84853395 and 84853404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1391010 + ... + 1391070.

Almost surely, 2^84853440 is an apocalyptic number.

84853440 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 84853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181416960).

84853440 is an abundant number, since it is smaller than the sum of its proper divisors (277980480).

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

84853440 is a wasteful number, since it uses less digits than its factorization.

84853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 84853440 is about 9211.5926961628. The cubic root of 84853440 is about 439.4301162051.

The spelling of 84853440 in words is "eighty-four million, eight hundred fifty-three thousand, four hundred forty".