29890944 has 144 divisors (see below), whose sum is σ = 92170260. Its totient is φ = 9642240.

The previous prime is 29890943. The next prime is 29890951. The reversal of 29890944 is 44909892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×29890944² = 1786937066422272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29890944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29890943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 964209 + ... + 964239.

Almost surely, 2^29890944 is an apocalyptic number.

29890944 is a gapful number since it is divisible by the number (24) 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 29890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085130).

29890944 is an abundant number, since it is smaller than the sum of its proper divisors (62279316).

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

29890944 is an frugal number, since it uses more digits than its factorization.

29890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 29890944 is about 5467.2611058921. The cubic root of 29890944 is about 310.3462797173.

The spelling of 29890944 in words is "twenty-nine million, eight hundred ninety thousand, nine hundred forty-four".