75496968 has 64 divisors (see below), whose sum is σ = 210916800. Its totient is φ = 25021440.

The previous prime is 75496961. The next prime is 75496969. The reversal of 75496968 is 86969457.

75496968 is a `hidden beast` number, since 7 + 549 + 6 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (75496961) 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, 40783 + ... + 42593.

It is an arithmetic number, because the mean of its divisors is an integer number (3295575).

Almost surely, 2^75496968 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 75496968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105458400).

75496968 is an abundant number, since it is smaller than the sum of its proper divisors (135419832).

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

75496968 is a wasteful number, since it uses less digits than its factorization.

75496968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2009 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 75496968 is about 8688.8991247453. The cubic root of 75496968 is about 422.6457473661.

The spelling of 75496968 in words is "seventy-five million, four hundred ninety-six thousand, nine hundred sixty-eight".