95407680 has 224 divisors, whose sum is σ = 329184000. Its totient is φ = 23339008.

The previous prime is 95407673. The next prime is 95407687. The reversal of 95407680 is 8670459.

It is an interprime number because it is at equal distance from previous prime (95407673) and next prime (95407687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95407687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640246 + ... + 640394.

Almost surely, 2^95407680 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 95407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

95407680 is an abundant number, since it is smaller than the sum of its proper divisors (233776320).

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

95407680 is a wasteful number, since it uses less digits than its factorization.

95407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 95407680 is about 9767.6854986225. The cubic root of 95407680 is about 456.9420353042.

The spelling of 95407680 in words is "ninety-five million, four hundred seven thousand, six hundred eighty".