29525940 has 72 divisors (see below), whose sum is σ = 94840200. Its totient is φ = 7409664.

The previous prime is 29525939. The next prime is 29525971. The reversal of 29525940 is 4952592.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 27815076 = 1308^2 + 5274^2 .

It is a super-2 number, since 2×29525940² = 1743562265767200, which contains 22 as substring.

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 = 29525895 and 29525904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765 + ... + 7884.

It is an arithmetic number, because the mean of its divisors is an integer number (1317225).

Almost surely, 2^29525940 is an apocalyptic number.

29525940 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 29525940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47420100).

29525940 is an abundant number, since it is smaller than the sum of its proper divisors (65314260).

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

29525940 is a wasteful number, since it uses less digits than its factorization.

29525940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9681 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 29525940 is about 5433.7776914408. Note that the first 3 decimals coincide. The cubic root of 29525940 is about 309.0778702165.

The spelling of 29525940 in words is "twenty-nine million, five hundred twenty-five thousand, nine hundred forty".