29957040 has 240 divisors, whose sum is σ = 110492928. Its totient is φ = 7527168.

The previous prime is 29957027. The next prime is 29957047. The reversal of 29957040 is 4075992.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29956986 and 29957004.

It is not an unprimeable number, because it can be changed into a prime (29957047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447087 + ... + 447153.

Almost surely, 2^29957040 is an apocalyptic number.

29957040 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 29957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55246464).

29957040 is an abundant number, since it is smaller than the sum of its proper divisors (80535888).

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

29957040 is a wasteful number, since it uses less digits than its factorization.

29957040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 29957040 is about 5473.3024765675. The cubic root of 29957040 is about 310.5748611767.

The spelling of 29957040 in words is "twenty-nine million, nine hundred fifty-seven thousand, forty".