95513760 has 144 divisors (see below), whose sum is σ = 343193760. Its totient is φ = 24122880.

The previous prime is 95513753. The next prime is 95513767. The reversal of 95513760 is 6731559.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95513753) and next prime (95513767).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (95513767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25615 + ... + 29105.

It is an arithmetic number, because the mean of its divisors is an integer number (2383290).

Almost surely, 2^95513760 is an apocalyptic number.

95513760 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 95513760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171596880).

95513760 is an abundant number, since it is smaller than the sum of its proper divisors (247680000).

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

95513760 is a wasteful number, since it uses less digits than its factorization.

95513760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 95513760 is about 9773.1141403342. The cubic root of 95513760 is about 457.1113244619. Note that the first 3 decimals are identical.

The spelling of 95513760 in words is "ninety-five million, five hundred thirteen thousand, seven hundred sixty".