95966640 has 320 divisors, whose sum is σ = 412830720. Its totient is φ = 19906560.

The previous prime is 95966639. The next prime is 95966677. The reversal of 95966640 is 4666959.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166032 + ... + 166608.

It is an arithmetic number, because the mean of its divisors is an integer number (1290096).

Almost surely, 2^95966640 is an apocalyptic number.

95966640 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 95966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206415360).

95966640 is an abundant number, since it is smaller than the sum of its proper divisors (316864080).

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

95966640 is a wasteful number, since it uses less digits than its factorization.

95966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 95966640 is about 9796.2564278402. The cubic root of 95966640 is about 457.8326524500.

The spelling of 95966640 in words is "ninety-five million, nine hundred sixty-six thousand, six hundred forty".