84958368 has 96 divisors (see below), whose sum is σ = 249080832. Its totient is φ = 25132800.

The previous prime is 84958361. The next prime is 84958373. The reversal of 84958368 is 86385948.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84958368.

It is not an unprimeable number, because it can be changed into a prime (84958361) 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, 44473 + ... + 46343.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 2^84958368 is an apocalyptic number.

84958368 is a gapful number since it is divisible by the number (88) 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 84958368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416).

84958368 is an abundant number, since it is smaller than the sum of its proper divisors (164122464).

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

84958368 is a wasteful number, since it uses less digits than its factorization.

84958368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 84958368 is about 9217.2863685577. The cubic root of 84958368 is about 439.6111716448.

The spelling of 84958368 in words is "eighty-four million, nine hundred fifty-eight thousand, three hundred sixty-eight".