29381940 has 120 divisors (see below), whose sum is σ = 105380352. Its totient is φ = 6713280.

The previous prime is 29381939. The next prime is 29381951. The reversal of 29381940 is 4918392.

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

It is a junction number, because it is equal to n+sod(n) for n = 29381895 and 29381904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10045 + ... + 12635.

Almost surely, 2^29381940 is an apocalyptic number.

29381940 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 29381940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

29381940 is an abundant number, since it is smaller than the sum of its proper divisors (75998412).

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

29381940 is a wasteful number, since it uses less digits than its factorization.

29381940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29381940 is about 5420.5110460177. The cubic root of 29381940 is about 308.5745866079.

The spelling of 29381940 in words is "twenty-nine million, three hundred eighty-one thousand, nine hundred forty".