29964000 has 192 divisors, whose sum is σ = 107557632. Its totient is φ = 7232000.

The previous prime is 29963981. The next prime is 29964001. The reversal of 29964000 is 46992.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29964001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131887 + ... + 132113.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^29964000 is an apocalyptic number.

29964000 is a gapful number since it is divisible by the number (20) 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 29964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

29964000 is an abundant number, since it is smaller than the sum of its proper divisors (77593632).

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

29964000 is a wasteful number, since it uses less digits than its factorization.

29964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 29964000 is about 5473.9382532140. The cubic root of 29964000 is about 310.5989115463.

It can be divided in two parts, 2996 and 4000, that added together give a palindrome (6996).

The spelling of 29964000 in words is "twenty-nine million, nine hundred sixty-four thousand".