95891040 has 360 divisors, whose sum is σ = 396274032. Its totient is φ = 21772800.

The previous prime is 95891039. The next prime is 95891041. The reversal of 95891040 is 4019859.

It is an interprime number because it is at equal distance from previous prime (95891039) and next prime (95891041).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 95890986 and 95891004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95891041) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634965 + ... + 635115.

Almost surely, 2^95891040 is an apocalyptic number.

95891040 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 95891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198137016).

95891040 is an abundant number, since it is smaller than the sum of its proper divisors (300382992).

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

95891040 is a wasteful number, since it uses less digits than its factorization.

95891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 95891040 is about 9792.3970507736. The cubic root of 95891040 is about 457.7123980180.

The spelling of 95891040 in words is "ninety-five million, eight hundred ninety-one thousand, forty".