96077440 has 128 divisors (see below), whose sum is σ = 245877120. Its totient is φ = 35819520.

The previous prime is 96077431. The next prime is 96077441. The reversal of 96077440 is 4477069.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 96077440.

It is not an unprimeable number, because it can be changed into a prime (96077441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897867 + ... + 897973.

It is an arithmetic number, because the mean of its divisors is an integer number (1920915).

Almost surely, 2^96077440 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 96077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560).

96077440 is an abundant number, since it is smaller than the sum of its proper divisors (149799680).

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

96077440 is a wasteful number, since it uses less digits than its factorization.

96077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 96077440 is about 9801.9100179506. The cubic root of 96077440 is about 458.0087843068.

It can be divided in two parts, 960 and 77440, that added together give a square (78400 = 280²).

The spelling of 96077440 in words is "ninety-six million, seventy-seven thousand, four hundred forty".