84920160240 has 640 divisors, whose sum is σ = 316265472000. Its totient is φ = 21152710656.

The previous prime is 84920160229. The next prime is 84920160271. The reversal of 84920160240 is 4206102948.

84920160240 is a `hidden beast` number, since 8 + 4 + 9 + 2 + 0 + 1 + 602 + 40 = 666.

It is a super-2 number, since 2×84920160240² (a number of 23 digits) 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 = 84920160195 and 84920160204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189131536 + ... + 189131984.

It is an arithmetic number, because the mean of its divisors is an integer number (494164800).

Almost surely, 2^84920160240 is an apocalyptic number.

84920160240 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 84920160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158132736000).

84920160240 is an abundant number, since it is smaller than the sum of its proper divisors (231345311760).

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

84920160240 is a wasteful number, since it uses less digits than its factorization.

84920160240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 84920160240 in words is "eighty-four billion, nine hundred twenty million, one hundred sixty thousand, two hundred forty".