29520064 has 56 divisors (see below), whose sum is σ = 67592448. Its totient is φ = 12529920.

The previous prime is 29520061. The next prime is 29520067. The reversal of 29520064 is 46002592.

It is an interprime number because it is at equal distance from previous prime (29520061) and next prime (29520067).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (29520061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58437 + ... + 58939.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 2^29520064 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 29520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33796224).

29520064 is an abundant number, since it is smaller than the sum of its proper divisors (38072384).

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

29520064 is a wasteful number, since it uses less digits than its factorization.

29520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 29520064 is about 5433.2369725606. The cubic root of 29520064 is about 309.0573655116.

It can be divided in two parts, 2 and 9520064, that added together give a triangular number (9520066 = T₄₃₆₃).

The spelling of 29520064 in words is "twenty-nine million, five hundred twenty thousand, sixty-four".