96952440 has 128 divisors (see below), whose sum is σ = 329817600. Its totient is φ = 22602240.

The previous prime is 96952439. The next prime is 96952441. The reversal of 96952440 is 4425969.

It is an interprime number because it is at equal distance from previous prime (96952439) and next prime (96952441).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96952441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28005 + ... + 31275.

It is an arithmetic number, because the mean of its divisors is an integer number (2576700).

Almost surely, 2^96952440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96952440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164908800).

96952440 is an abundant number, since it is smaller than the sum of its proper divisors (232865160).

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

96952440 is a wasteful number, since it uses less digits than its factorization.

96952440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 96952440 is about 9846.4430125807. The cubic root of 96952440 is about 459.3949827950.

The spelling of 96952440 in words is "ninety-six million, nine hundred fifty-two thousand, four hundred forty".