95047680 has 416 divisors, whose sum is σ = 396313344. Its totient is φ = 18874368.

The previous prime is 95047669. The next prime is 95047691. The reversal of 95047680 is 8674059.

95047680 = 74² + 75² + ... + 658².

It is an interprime number because it is at equal distance from previous prime (95047669) and next prime (95047691).

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×95047680² = 18068122946764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 4.

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, 5591032 + ... + 5591048.

Almost surely, 2^95047680 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 95047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198156672).

95047680 is an abundant number, since it is smaller than the sum of its proper divisors (301265664).

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

95047680 is a wasteful number, since it uses less digits than its factorization.

95047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

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

The square root of 95047680 is about 9749.2399703772. The cubic root of 95047680 is about 456.3665873319.

The spelling of 95047680 in words is "ninety-five million, forty-seven thousand, six hundred eighty".