29135040 has 224 divisors, whose sum is σ = 105338880. Its totient is φ = 6758400.

The previous prime is 29135039. The next prime is 29135069. The reversal of 29135040 is 4053192.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 29135040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327316 + ... + 327404.

Almost surely, 2^29135040 is an apocalyptic number.

29135040 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 29135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440).

29135040 is an abundant number, since it is smaller than the sum of its proper divisors (76203840).

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

29135040 is a wasteful number, since it uses less digits than its factorization.

29135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 29135040 is about 5397.6883941184. The cubic root of 29135040 is about 307.7078243457.

The spelling of 29135040 in words is "twenty-nine million, one hundred thirty-five thousand, forty".