712639620 has 480 divisors, whose sum is σ = 2897959680. Its totient is φ = 142248960.

The previous prime is 712639619. The next prime is 712639621. The reversal of 712639620 is 26936217.

712639620 is a `hidden beast` number, since 7 + 1 + 26 + 3 + 9 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (712639619) and next prime (712639621).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (712639621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3617362 + ... + 3617558.

It is an arithmetic number, because the mean of its divisors is an integer number (6037416).

Almost surely, 2^712639620 is an apocalyptic number.

712639620 is a gapful number since it is divisible by the number (70) 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 712639620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448979840).

712639620 is an abundant number, since it is smaller than the sum of its proper divisors (2185320060).

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

712639620 is a wasteful number, since it uses less digits than its factorization.

712639620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 712639620 is about 26695.3108241878. The cubic root of 712639620 is about 893.2163304971.

The spelling of 712639620 in words is "seven hundred twelve million, six hundred thirty-nine thousand, six hundred twenty".