95640480 has 288 divisors, whose sum is σ = 365238720. Its totient is φ = 23362560.

The previous prime is 95640473. The next prime is 95640539. The reversal of 95640480 is 8404659.

95640480 is a `hidden beast` number, since 9 + 5 + 640 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 730015 + ... + 730145.

It is an arithmetic number, because the mean of its divisors is an integer number (1268190).

Almost surely, 2^95640480 is an apocalyptic number.

95640480 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 95640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182619360).

95640480 is an abundant number, since it is smaller than the sum of its proper divisors (269598240).

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

95640480 is a wasteful number, since it uses less digits than its factorization.

95640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 95640480 is about 9779.5950836423. The cubic root of 95640480 is about 457.3133880148.

It can be divided in two parts, 956404 and 80, that added together give a square (956484 = 978²).

The spelling of 95640480 in words is "ninety-five million, six hundred forty thousand, four hundred eighty".