71631630 has 144 divisors (see below), whose sum is σ = 223011360. Its totient is φ = 15894144.

The previous prime is 71631613. The next prime is 71631631. The reversal of 71631630 is 3613617.

It is a junction number, because it is equal to n+sod(n) for n = 71631594 and 71631603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71631631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162951 + ... + 163389.

It is an arithmetic number, because the mean of its divisors is an integer number (1548690).

Almost surely, 2^71631630 is an apocalyptic number.

71631630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71631630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111505680).

71631630 is an abundant number, since it is smaller than the sum of its proper divisors (151379730).

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

71631630 is a wasteful number, since it uses less digits than its factorization.

71631630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 71631630 is about 8463.5471287162. The cubic root of 71631630 is about 415.3060692732.

The spelling of 71631630 in words is "seventy-one million, six hundred thirty-one thousand, six hundred thirty".