29860896 has 96 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 9031680.

The previous prime is 29860871. The next prime is 29860907. The reversal of 29860896 is 69806892.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88440 + ... + 88776.

It is an arithmetic number, because the mean of its divisors is an integer number (894348).

Almost surely, 2^29860896 is an apocalyptic number.

29860896 is a gapful number since it is divisible by the number (26) 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 29860896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

29860896 is an abundant number, since it is smaller than the sum of its proper divisors (55996512).

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

29860896 is a wasteful number, since it uses less digits than its factorization.

29860896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 29860896 is about 5464.5124210674. The cubic root of 29860896 is about 310.2422525409.

The spelling of 29860896 in words is "twenty-nine million, eight hundred sixty thousand, eight hundred ninety-six".