47023680 has 224 divisors, whose sum is σ = 167810688. Its totient is φ = 11059200.

The previous prime is 47023657. The next prime is 47023687. The reversal of 47023680 is 8632074.

It is a super-2 number, since 2×47023680² = 4422452961484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47023687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644124 + ... + 644196.

Almost surely, 2^47023680 is an apocalyptic number.

47023680 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 47023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83905344).

47023680 is an abundant number, since it is smaller than the sum of its proper divisors (120787008).

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

47023680 is a wasteful number, since it uses less digits than its factorization.

47023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47023680 is about 6857.3814244214. The cubic root of 47023680 is about 360.9432056406.

The spelling of 47023680 in words is "forty-seven million, twenty-three thousand, six hundred eighty".