29714040 has 112 divisors (see below), whose sum is σ = 100337400. Its totient is φ = 7915968.

The previous prime is 29714023. The next prime is 29714057. The reversal of 29714040 is 4041792.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29714023) and next prime (29714057).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 29713995 and 29714013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28651 + ... + 29669.

Almost surely, 2^29714040 is an apocalyptic number.

29714040 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 29714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168700).

29714040 is an abundant number, since it is smaller than the sum of its proper divisors (70623360).

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

29714040 is a wasteful number, since it uses less digits than its factorization.

29714040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 29714040 is about 5451.0586127834. The cubic root of 29714040 is about 309.7328256458.

The spelling of 29714040 in words is "twenty-nine million, seven hundred fourteen thousand, forty".