29720964 has 96 divisors (see below), whose sum is σ = 90429696. Its totient is φ = 7372800.

The previous prime is 29720903. The next prime is 29720983. The reversal of 29720964 is 46902792.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17764 + ... + 19364.

It is an arithmetic number, because the mean of its divisors is an integer number (941976).

Almost surely, 2^29720964 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 29720964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45214848).

29720964 is an abundant number, since it is smaller than the sum of its proper divisors (60708732).

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

29720964 is a wasteful number, since it uses less digits than its factorization.

29720964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 29720964 is about 5451.6936817837. The cubic root of 29720964 is about 309.7568818779.

The spelling of 29720964 in words is "twenty-nine million, seven hundred twenty thousand, nine hundred sixty-four".