29097040 has 80 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 9888768.

The previous prime is 29097031. The next prime is 29097049. The reversal of 29097040 is 4079092.

It is an interprime number because it is at equal distance from previous prime (29097031) and next prime (29097049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 29096993 and 29097011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29097049) 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, 124764 + ... + 124996.

Almost surely, 2^29097040 is an apocalyptic number.

29097040 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 29097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

29097040 is an abundant number, since it is smaller than the sum of its proper divisors (48897968).

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

29097040 is a wasteful number, since it uses less digits than its factorization.

29097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 29097040 is about 5394.1672202482. The cubic root of 29097040 is about 307.5739879688.

The spelling of 29097040 in words is "twenty-nine million, ninety-seven thousand, forty".