95945850 has 384 divisors, whose sum is σ = 359976960. Its totient is φ = 18144000.

The previous prime is 95945849. The next prime is 95945867. The reversal of 95945850 is 5854959.

95945850 is a `hidden beast` number, since 9 + 594 + 5 + 8 + 50 = 666.

It is a super-2 number, since 2×95945850² = 18411212264445000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 95945796 and 95945805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1351315 + ... + 1351385.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^95945850 is an apocalyptic number.

95945850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 95945850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

95945850 is an abundant number, since it is smaller than the sum of its proper divisors (264031110).

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

95945850 is a wasteful number, since it uses less digits than its factorization.

95945850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 95945850 is about 9795.1952507339. The cubic root of 95945850 is about 457.7995887788.

The spelling of 95945850 in words is "ninety-five million, nine hundred forty-five thousand, eight hundred fifty".