47604096 has 144 divisors (see below), whose sum is σ = 144838980. Its totient is φ = 14999040.

The previous prime is 47604083. The next prime is 47604107. The reversal of 47604096 is 69040674.

47604096 is a `hidden beast` number, since 47 + 604 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×47604096⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47604096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1107051 + ... + 1107093.

Almost surely, 2^47604096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72419490).

47604096 is an abundant number, since it is smaller than the sum of its proper divisors (97234884).

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

47604096 is a wasteful number, since it uses less digits than its factorization.

47604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 47604096 is about 6899.5721606488. The cubic root of 47604096 is about 362.4221848033.

The spelling of 47604096 in words is "forty-seven million, six hundred four thousand, ninety-six".