84952920 has 192 divisors, whose sum is σ = 284601600. Its totient is φ = 20267520.

The previous prime is 84952913. The next prime is 84952937. The reversal of 84952920 is 2925948.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196485 + ... + 1196555.

It is an arithmetic number, because the mean of its divisors is an integer number (1482300).

Almost surely, 2^84952920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142300800).

84952920 is an abundant number, since it is smaller than the sum of its proper divisors (199648680).

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

84952920 is a wasteful number, since it uses less digits than its factorization.

84952920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 84952920 is about 9216.9908321534. The cubic root of 84952920 is about 439.6017746781.

The spelling of 84952920 in words is "eighty-four million, nine hundred fifty-two thousand, nine hundred twenty".