95209920 has 168 divisors, whose sum is σ = 352812096. Its totient is φ = 23427072.

The previous prime is 95209909. The next prime is 95209937. The reversal of 95209920 is 2990259.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36169 + ... + 38711.

It is an arithmetic number, because the mean of its divisors is an integer number (2100072).

Almost surely, 2^95209920 is an apocalyptic number.

95209920 is a gapful number since it is divisible by the number (90) 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 95209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176406048).

95209920 is an abundant number, since it is smaller than the sum of its proper divisors (257602176).

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

95209920 is a wasteful number, since it uses less digits than its factorization.

95209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 95209920 is about 9757.5570713166. The cubic root of 95209920 is about 456.6261020912.

The spelling of 95209920 in words is "ninety-five million, two hundred nine thousand, nine hundred twenty".