84920120 has 64 divisors (see below), whose sum is σ = 208116000. Its totient is φ = 31062528.

The previous prime is 84920119. The next prime is 84920123. The reversal of 84920120 is 2102948.

It is a super-2 number, since 2×84920120² = 14422853561628800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84920120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84920123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20114 + ... + 23966.

Almost surely, 2^84920120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84920120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104058000).

84920120 is an abundant number, since it is smaller than the sum of its proper divisors (123195880).

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

84920120 is a wasteful number, since it uses less digits than its factorization.

84920120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 84920120 is about 9215.2113377828. The cubic root of 84920120 is about 439.5451912030.

The spelling of 84920120 in words is "eighty-four million, nine hundred twenty thousand, one hundred twenty".