84039120 has 280 divisors, whose sum is σ = 322024032. Its totient is φ = 20217600.

The previous prime is 84039103. The next prime is 84039121. The reversal of 84039120 is 2193048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84039121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 641455 + ... + 641585.

Almost surely, 2^84039120 is an apocalyptic number.

84039120 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 84039120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161012016).

84039120 is an abundant number, since it is smaller than the sum of its proper divisors (237984912).

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

84039120 is a wasteful number, since it uses less digits than its factorization.

84039120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 84039120 is about 9167.2853124576. The cubic root of 84039120 is about 438.0198902583.

The spelling of 84039120 in words is "eighty-four million, thirty-nine thousand, one hundred twenty".