29330496 has 84 divisors (see below), whose sum is σ = 90560652. Its totient is φ = 9022464.

The previous prime is 29330479. The next prime is 29330527. The reversal of 29330496 is 69403392.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13838400 + 15492096 = 3720^2 + 3936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29330496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5530 + ... + 9446.

It is an arithmetic number, because the mean of its divisors is an integer number (1078103).

Almost surely, 2^29330496 is an apocalyptic number.

29330496 is a gapful number since it is divisible by the number (26) 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 29330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45280326).

29330496 is an abundant number, since it is smaller than the sum of its proper divisors (61230156).

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

29330496 is a wasteful number, since it uses less digits than its factorization.

29330496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 29330496 is about 5415.7636580634. The cubic root of 29330496 is about 308.3943899215.

The spelling of 29330496 in words is "twenty-nine million, three hundred thirty thousand, four hundred ninety-six".