7429968 has 210 divisors, whose sum is σ = 27038634. Its totient is φ = 1959552.

The previous prime is 7429963. The next prime is 7429993. The reversal of 7429968 is 8699247.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 2286144 = 2268^2 + 1512^2 .

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7429963) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 571530 + ... + 571542.

Almost surely, 2^7429968 is an apocalyptic number.

7429968 is a gapful number since it is divisible by the number (78) 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 7429968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519317).

7429968 is an abundant number, since it is smaller than the sum of its proper divisors (19608666).

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

7429968 is a wasteful number, since it uses less digits than its factorization.

7429968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 25 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 7429968 is about 2725.7967642508. The cubic root of 7429968 is about 195.1322180228.

The spelling of 7429968 in words is "seven million, four hundred twenty-nine thousand, nine hundred sixty-eight".