29040960 has 168 divisors, whose sum is σ = 100401120. Its totient is φ = 7108608.

The previous prime is 29040959. The next prime is 29040961. The reversal of 29040960 is 6904092.

It is an interprime number because it is at equal distance from previous prime (29040959) and next prime (29040961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29040961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162151 + ... + 162329.

Almost surely, 2^29040960 is an apocalyptic number.

29040960 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 29040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50200560).

29040960 is an abundant number, since it is smaller than the sum of its proper divisors (71360160).

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

29040960 is a wasteful number, since it uses less digits than its factorization.

29040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 29040960 is about 5388.9665057412. The cubic root of 29040960 is about 307.3762606106.

It can be divided in two parts, 29040 and 960, that multiplied together give a square (27878400 = 5280²).

The spelling of 29040960 in words is "twenty-nine million, forty thousand, nine hundred sixty".