29849040 has 160 divisors (see below), whose sum is σ = 110826240. Its totient is φ = 7340544.

The previous prime is 29849011. The next prime is 29849051. The reversal of 29849040 is 4094892.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 29848986 and 29849004.

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, 27549 + ... + 28611.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^29849040 is an apocalyptic number.

29849040 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 29849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55413120).

29849040 is an abundant number, since it is smaller than the sum of its proper divisors (80977200).

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

29849040 is a wasteful number, since it uses less digits than its factorization.

29849040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29849040 is about 5463.4274956295. The cubic root of 29849040 is about 310.2011874742.

The spelling of 29849040 in words is "twenty-nine million, eight hundred forty-nine thousand, forty".