29966440 has 48 divisors (see below), whose sum is σ = 78437700. Its totient is φ = 10273536.

The previous prime is 29966437. The next prime is 29966441. The reversal of 29966440 is 4466992.

It can be written as a sum of positive squares in 2 ways, for example, as 29964676 + 1764 = 5474^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 29966393 and 29966402.

It is not an unprimeable number, because it can be changed into a prime (29966441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5685 + ... + 9604.

Almost surely, 2^29966440 is an apocalyptic number.

29966440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29966440 is an abundant number, since it is smaller than the sum of its proper divisors (48471260).

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

29966440 is a wasteful number, since it uses less digits than its factorization.

29966440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15314 (or 15303 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 29966440 is about 5474.1611229484. The cubic root of 29966440 is about 310.6073421160.

The spelling of 29966440 in words is "twenty-nine million, nine hundred sixty-six thousand, four hundred forty".