47624640 has 224 divisors, whose sum is σ = 182392320. Its totient is φ = 10285056.

The previous prime is 47624639. The next prime is 47624663. The reversal of 47624640 is 4642674.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127494 + ... + 127866.

Almost surely, 2^47624640 is an apocalyptic number.

47624640 is a gapful number since it is divisible by the number (40) 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 47624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91196160).

47624640 is an abundant number, since it is smaller than the sum of its proper divisors (134767680).

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

47624640 is a wasteful number, since it uses less digits than its factorization.

47624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 47624640 is about 6901.0607880238. The cubic root of 47624640 is about 362.4743128845.

The spelling of 47624640 in words is "forty-seven million, six hundred twenty-four thousand, six hundred forty".