95971400 has 96 divisors (see below), whose sum is σ = 260400000. Its totient is φ = 32880960.

The previous prime is 95971397. The next prime is 95971423. The reversal of 95971400 is 417959.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67901 + ... + 69299.

It is an arithmetic number, because the mean of its divisors is an integer number (2712500).

Almost surely, 2^95971400 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 95971400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130200000).

95971400 is an abundant number, since it is smaller than the sum of its proper divisors (164428600).

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

95971400 is a wasteful number, since it uses less digits than its factorization.

95971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 95971400 is about 9796.4993747767. The cubic root of 95971400 is about 457.8402219116.

The spelling of 95971400 in words is "ninety-five million, nine hundred seventy-one thousand, four hundred".