95987440 has 80 divisors (see below), whose sum is σ = 238297248. Its totient is φ = 35831808.

The previous prime is 95987431. The next prime is 95987459. The reversal of 95987440 is 4478959.

95987440 = T₁₇ + T₁₈ + ... + T₈₃₁.

95987440 is a nontrivial binomial coefficient, being equal to C(13856, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221464 + ... + 221896.

Almost surely, 2^95987440 is an apocalyptic number.

95987440 is the 13855-th triangular number and also the 6928-th hexagonal number.

95987440 is the 4619-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95987440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119148624).

95987440 is an abundant number, since it is smaller than the sum of its proper divisors (142309808).

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

95987440 is a wasteful number, since it uses less digits than its factorization.

95987440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 95987440 is about 9797.3180003509. The cubic root of 95987440 is about 457.8657272464.

The spelling of 95987440 in words is "ninety-five million, nine hundred eighty-seven thousand, four hundred forty".