84958720 has 160 divisors (see below), whose sum is σ = 254555136. Its totient is φ = 26419200.

The previous prime is 84958703. The next prime is 84958721. The reversal of 84958720 is 2785948.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84958721) 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, 196905 + ... + 197335.

Almost surely, 2^84958720 is an apocalyptic number.

84958720 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 84958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127277568).

84958720 is an abundant number, since it is smaller than the sum of its proper divisors (169596416).

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

84958720 is a wasteful number, since it uses less digits than its factorization.

84958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 84958720 is about 9217.3054630949. The cubic root of 84958720 is about 439.6117787771.

The spelling of 84958720 in words is "eighty-four million, nine hundred fifty-eight thousand, seven hundred twenty".