29556480 has 144 divisors (see below), whose sum is σ = 97130880. Its totient is φ = 7655424.

The previous prime is 29556473. The next prime is 29556487. The reversal of 29556480 is 8465592.

It is an interprime number because it is at equal distance from previous prime (29556473) and next prime (29556487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29556487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165031 + ... + 165209.

It is an arithmetic number, because the mean of its divisors is an integer number (674520).

Almost surely, 2^29556480 is an apocalyptic number.

29556480 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 29556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48565440).

29556480 is an abundant number, since it is smaller than the sum of its proper divisors (67574400).

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

29556480 is a wasteful number, since it uses less digits than its factorization.

29556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 29556480 is about 5436.5871647569. The cubic root of 29556480 is about 309.1843978500.

The spelling of 29556480 in words is "twenty-nine million, five hundred fifty-six thousand, four hundred eighty".