29945700 has 90 divisors (see below), whose sum is σ = 97098386. Its totient is φ = 7983360.

The previous prime is 29945677. The next prime is 29945731. The reversal of 29945700 is 754992.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 29942784 = 54^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6252 + ... + 9948.

Almost surely, 2^29945700 is an apocalyptic number.

29945700 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 29945700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48549193).

29945700 is an abundant number, since it is smaller than the sum of its proper divisors (67152686).

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

29945700 is a wasteful number, since it uses less digits than its factorization.

29945700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 29945700 is about 5472.2664408817. The cubic root of 29945700 is about 310.5356676803.

The spelling of 29945700 in words is "twenty-nine million, nine hundred forty-five thousand, seven hundred".