43630920 has 128 divisors (see below), whose sum is σ = 147744000. Its totient is φ = 11450880.

The previous prime is 43630901. The next prime is 43630927. The reversal of 43630920 is 2903634.

43630920 = T₇₁ + T₇₂ + ... + T₆₃₉.

43630920 is a `hidden beast` number, since 4 + 3 + 630 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (43630927) 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, 76396 + ... + 76964.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^43630920 is an apocalyptic number.

43630920 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 43630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872000).

43630920 is an abundant number, since it is smaller than the sum of its proper divisors (104113080).

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

43630920 is a wasteful number, since it uses less digits than its factorization.

43630920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 43630920 is about 6605.3705422179. The cubic root of 43630920 is about 352.0449537973.

The spelling of 43630920 in words is "forty-three million, six hundred thirty thousand, nine hundred twenty".