29769768 has 80 divisors (see below), whose sum is σ = 95309280. Its totient is φ = 8504352.

The previous prime is 29769763. The next prime is 29769791. The reversal of 29769768 is 86796792.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29769763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1255 + ... + 7817.

It is an arithmetic number, because the mean of its divisors is an integer number (1191366).

Almost surely, 2^29769768 is an apocalyptic number.

29769768 is a gapful number since it is divisible by the number (28) 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 29769768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47654640).

29769768 is an abundant number, since it is smaller than the sum of its proper divisors (65539512).

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

29769768 is a wasteful number, since it uses less digits than its factorization.

29769768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6575 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 29769768 is about 5456.1678859800. The cubic root of 29769768 is about 309.9263369892.

The spelling of 29769768 in words is "twenty-nine million, seven hundred sixty-nine thousand, seven hundred sixty-eight".