95287920 has 160 divisors (see below), whose sum is σ = 363643392. Its totient is φ = 20100096.

The previous prime is 95287897. The next prime is 95287921. The reversal of 95287920 is 2978259.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95287921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19659 + ... + 24021.

Almost surely, 2^95287920 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 95287920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181821696).

95287920 is an abundant number, since it is smaller than the sum of its proper divisors (268355472).

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

95287920 is a wasteful number, since it uses less digits than its factorization.

95287920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 95287920 is about 9761.5531551081. The cubic root of 95287920 is about 456.7507638706.

The spelling of 95287920 in words is "ninety-five million, two hundred eighty-seven thousand, nine hundred twenty".