29948940 has 240 divisors, whose sum is σ = 113836800. Its totient is φ = 6438528.

The previous prime is 29948927. The next prime is 29948953. The reversal of 29948940 is 4984992.

It is an interprime number because it is at equal distance from previous prime (29948927) and next prime (29948953).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215391 + ... + 215529.

It is an arithmetic number, because the mean of its divisors is an integer number (474320).

Almost surely, 2^29948940 is an apocalyptic number.

29948940 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 29948940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56918400).

29948940 is an abundant number, since it is smaller than the sum of its proper divisors (83887860).

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

29948940 is a wasteful number, since it uses less digits than its factorization.

29948940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 29948940 is about 5472.5624710916. The cubic root of 29948940 is about 310.5468668316.

The spelling of 29948940 in words is "twenty-nine million, nine hundred forty-eight thousand, nine hundred forty".