84651840 has 672 divisors, whose sum is σ = 399409920. Its totient is φ = 15925248.

The previous prime is 84651829. The next prime is 84651877. The reversal of 84651840 is 4815648.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 84651795 and 84651804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4455351 + ... + 4455369.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^84651840 is an apocalyptic number.

84651840 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 84651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

84651840 is an abundant number, since it is smaller than the sum of its proper divisors (314758080).

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

84651840 is a wasteful number, since it uses less digits than its factorization.

84651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 84651840 is about 9200.6434557590. The cubic root of 84651840 is about 439.0818319059.

It can be divided in two parts, 84651 and 840, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 84651840 in words is "eighty-four million, six hundred fifty-one thousand, eight hundred forty".