29979840 has 224 divisors, whose sum is σ = 110605824. Its totient is φ = 6799360.

The previous prime is 29979839. The next prime is 29979889. The reversal of 29979840 is 4897992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29979840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179437 + ... + 179603.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 2^29979840 is an apocalyptic number.

29979840 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 29979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912).

29979840 is an abundant number, since it is smaller than the sum of its proper divisors (80625984).

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

29979840 is a wasteful number, since it uses less digits than its factorization.

29979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 29979840 is about 5475.3849179761. The cubic root of 29979840 is about 310.6536329906.

The spelling of 29979840 in words is "twenty-nine million, nine hundred seventy-nine thousand, eight hundred forty".