29973840 has 120 divisors (see below), whose sum is σ = 100752480. Its totient is φ = 7368192.

The previous prime is 29973833. The next prime is 29973851. The reversal of 29973840 is 4837992.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 29973792 and 29973801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40191 + ... + 40929.

It is an arithmetic number, because the mean of its divisors is an integer number (839604).

Almost surely, 2^29973840 is an apocalyptic number.

29973840 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 29973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50376240).

29973840 is an abundant number, since it is smaller than the sum of its proper divisors (70778640).

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

29973840 is a wasteful number, since it uses less digits than its factorization.

29973840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 29973840 is about 5474.8369838745. The cubic root of 29973840 is about 310.6329074390.

The spelling of 29973840 in words is "twenty-nine million, nine hundred seventy-three thousand, eight hundred forty".