29890560 has 192 divisors, whose sum is σ = 110073600. Its totient is φ = 6782976.

The previous prime is 29890559. The next prime is 29890571. The reversal of 29890560 is 6509892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×29890560² = 1786891154227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214971 + ... + 215109.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^29890560 is an apocalyptic number.

29890560 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 29890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

29890560 is an abundant number, since it is smaller than the sum of its proper divisors (80183040).

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

29890560 is a wasteful number, since it uses less digits than its factorization.

29890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 29890560 is about 5467.2259876468. The cubic root of 29890560 is about 310.3449507364.

The spelling of 29890560 in words is "twenty-nine million, eight hundred ninety thousand, five hundred sixty".