47650720 has 96 divisors (see below), whose sum is σ = 125314560. Its totient is φ = 17003520.

The previous prime is 47650717. The next prime is 47650723. The reversal of 47650720 is 2705674.

47650720 = 824² + 825² + ... + 888².

47650720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47650717) and next prime (47650723).

It is a super-2 number, since 2×47650720² = 4541182233036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (47650723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64111 + ... + 64849.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 2^47650720 is an apocalyptic number.

47650720 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 47650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62657280).

47650720 is an abundant number, since it is smaller than the sum of its proper divisors (77663840).

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

47650720 is a wasteful number, since it uses less digits than its factorization.

47650720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 47650720 is about 6902.9500939816. The cubic root of 47650720 is about 362.5404663505.

The spelling of 47650720 in words is "forty-seven million, six hundred fifty thousand, seven hundred twenty".