95760720 has 240 divisors, whose sum is σ = 357244992. Its totient is φ = 22794240.

The previous prime is 95760683. The next prime is 95760757. The reversal of 95760720 is 2706759.

It is an interprime number because it is at equal distance from previous prime (95760683) and next prime (95760757).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847384 + ... + 847496.

Almost surely, 2^95760720 is an apocalyptic number.

95760720 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 95760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178622496).

95760720 is an abundant number, since it is smaller than the sum of its proper divisors (261484272).

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

95760720 is a wasteful number, since it uses less digits than its factorization.

95760720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 95760720 is about 9785.7406464713. The cubic root of 95760720 is about 457.5049538118.

The spelling of 95760720 in words is "ninety-five million, seven hundred sixty thousand, seven hundred twenty".