84942720 has 96 divisors (see below), whose sum is σ = 293337720. Its totient is φ = 22649856.

The previous prime is 84942691. The next prime is 84942721. The reversal of 84942720 is 2724948.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84942721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614 + ... + 13133.

Almost surely, 2^84942720 is an apocalyptic number.

84942720 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 84942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146668860).

84942720 is an abundant number, since it is smaller than the sum of its proper divisors (208395000).

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

84942720 is a wasteful number, since it uses less digits than its factorization.

84942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 84942720 is about 9216.4374896160. The cubic root of 84942720 is about 439.5841801580.

The spelling of 84942720 in words is "eighty-four million, nine hundred forty-two thousand, seven hundred twenty".