47264640 has 128 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 12429312.

The previous prime is 47264617. The next prime is 47264671. The reversal of 47264640 is 4646274.

47264640 = T₁₇ + T₁₈ + ... + T₆₅₆.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 197641 + ... + 197879.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^47264640 is an apocalyptic number.

47264640 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 47264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

47264640 is an abundant number, since it is smaller than the sum of its proper divisors (105490560).

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

47264640 is a wasteful number, since it uses less digits than its factorization.

47264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

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

The square root of 47264640 is about 6874.9283632631. The cubic root of 47264640 is about 361.5586738476.

The spelling of 47264640 in words is "forty-seven million, two hundred sixty-four thousand, six hundred forty".