84913920 has 504 divisors, whose sum is σ = 375327456. Its totient is φ = 17915904.

The previous prime is 84913919. The next prime is 84913931. The reversal of 84913920 is 2931948.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531834 + ... + 6531846.

Almost surely, 2^84913920 is an apocalyptic number.

84913920 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 84913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187663728).

84913920 is an abundant number, since it is smaller than the sum of its proper divisors (290413536).

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

84913920 is an equidigital number, since it uses as much as digits as its factorization.

84913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 84913920 is about 9214.8749313271. The cubic root of 84913920 is about 439.5344939088.

84913920 divided by its product of nonzero digits (15552) gives a triangular number (5460 = T₁₀₄).

The spelling of 84913920 in words is "eighty-four million, nine hundred thirteen thousand, nine hundred twenty".