29842040 has 64 divisors (see below), whose sum is σ = 70848000. Its totient is φ = 11290752.

The previous prime is 29842037. The next prime is 29842051. The reversal of 29842040 is 4024892.

It is a junction number, because it is equal to n+sod(n) for n = 29841994 and 29842012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149861 + ... + 150059.

It is an arithmetic number, because the mean of its divisors is an integer number (1107000).

Almost surely, 2^29842040 is an apocalyptic number.

29842040 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 29842040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35424000).

29842040 is an abundant number, since it is smaller than the sum of its proper divisors (41005960).

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

29842040 is a wasteful number, since it uses less digits than its factorization.

29842040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 29842040 is about 5462.7868345745. The cubic root of 29842040 is about 310.1769367995.

The spelling of 29842040 in words is "twenty-nine million, eight hundred forty-two thousand, forty".