29966976 has 256 divisors, whose sum is σ = 102816000. Its totient is φ = 8515584.

The previous prime is 29966939. The next prime is 29966977. The reversal of 29966976 is 67966992.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29966977) 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, 1033330 + ... + 1033358.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 2^29966976 is an apocalyptic number.

29966976 is a gapful number since it is divisible by the number (26) 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 29966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

29966976 is an abundant number, since it is smaller than the sum of its proper divisors (72849024).

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

29966976 is a wasteful number, since it uses less digits than its factorization.

29966976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 29966976 is about 5474.2100800024. The cubic root of 29966976 is about 310.6091940159.

The spelling of 29966976 in words is "twenty-nine million, nine hundred sixty-six thousand, nine hundred seventy-six".