29901690 has 128 divisors (see below), whose sum is σ = 98219520. Its totient is φ = 6303744.

The previous prime is 29901689. The next prime is 29901709. The reversal of 29901690 is 9610992.

It is a super-2 number, since 2×29901690² = 1788222129712200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23962 + ... + 25178.

It is an arithmetic number, because the mean of its divisors is an integer number (767340).

Almost surely, 2^29901690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29901690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49109760).

29901690 is an abundant number, since it is smaller than the sum of its proper divisors (68317830).

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

29901690 is a wasteful number, since it uses less digits than its factorization.

29901690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 29901690 is about 5468.2437765703. The cubic root of 29901690 is about 310.3834658023.

The spelling of 29901690 in words is "twenty-nine million, nine hundred one thousand, six hundred ninety".