85988952 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 23950080.

The previous prime is 85988923. The next prime is 85988957. The reversal of 85988952 is 25988958.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85988957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966124 + ... + 966212.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^85988952 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 85988952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

85988952 is an abundant number, since it is smaller than the sum of its proper divisors (197057448).

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

85988952 is a wasteful number, since it uses less digits than its factorization.

85988952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 85988952 is about 9273.0228081247. The cubic root of 85988952 is about 441.3815939127.

The spelling of 85988952 in words is "eighty-five million, nine hundred eighty-eight thousand, nine hundred fifty-two".