29962144 has 36 divisors (see below), whose sum is σ = 60570342. Its totient is φ = 14589440.

The previous prime is 29962139. The next prime is 29962159. The reversal of 29962144 is 44126992.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3952144 + 26010000 = 1988^2 + 5100^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53514 + ... + 54070.

Almost surely, 2^29962144 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 29962144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30285171).

29962144 is an abundant number, since it is smaller than the sum of its proper divisors (30608198).

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

29962144 is an equidigital number, since it uses as much as digits as its factorization.

29962144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 600 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 29962144 is about 5473.7687199954. The cubic root of 29962144 is about 310.5924984785.

The spelling of 29962144 in words is "twenty-nine million, nine hundred sixty-two thousand, one hundred forty-four".