29668770 has 48 divisors (see below), whose sum is σ = 78242112. Its totient is φ = 7798560.

The previous prime is 29668759. The next prime is 29668777. The reversal of 29668770 is 7786692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29668777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4069 + ... + 8711.

It is an arithmetic number, because the mean of its divisors is an integer number (1630044).

Almost surely, 2^29668770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29668770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39121056).

29668770 is an abundant number, since it is smaller than the sum of its proper divisors (48573342).

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

29668770 is a wasteful number, since it uses less digits than its factorization.

29668770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 29668770 is about 5446.9046255649. The cubic root of 29668770 is about 309.5754507506.

The spelling of 29668770 in words is "twenty-nine million, six hundred sixty-eight thousand, seven hundred seventy".