95467680 has 576 divisors, whose sum is σ = 434367360. Its totient is φ = 19353600.

The previous prime is 95467661. The next prime is 95467703. The reversal of 95467680 is 8676459.

It is a super-2 number, since 2×95467680² = 18228155849164800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 2328460 + ... + 2328500.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^95467680 is an apocalyptic number.

95467680 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 95467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

95467680 is an abundant number, since it is smaller than the sum of its proper divisors (338899680).

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

95467680 is a wasteful number, since it uses less digits than its factorization.

95467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 95467680 is about 9770.7563678561. The cubic root of 95467680 is about 457.0378024965.

The spelling of 95467680 in words is "ninety-five million, four hundred sixty-seven thousand, six hundred eighty".