95351040 has 288 divisors, whose sum is σ = 353203200. Its totient is φ = 24330240.

The previous prime is 95351033. The next prime is 95351057. The reversal of 95351040 is 4015359.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 95350995 and 95351013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071316 + ... + 1071404.

It is an arithmetic number, because the mean of its divisors is an integer number (1226400).

Almost surely, 2^95351040 is an apocalyptic number.

95351040 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 95351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601600).

95351040 is an abundant number, since it is smaller than the sum of its proper divisors (257852160).

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

95351040 is a wasteful number, since it uses less digits than its factorization.

95351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 95351040 is about 9764.7857119345. The cubic root of 95351040 is about 456.8515942268.

Adding to 95351040 its reverse (4015359), we get a palindrome (99366399).

The spelling of 95351040 in words is "ninety-five million, three hundred fifty-one thousand, forty".