71406630 has 128 divisors (see below), whose sum is σ = 206530560. Its totient is φ = 17487360.

The previous prime is 71406589. The next prime is 71406631. The reversal of 71406630 is 3660417.

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

It is a junction number, because it is equal to n+sod(n) for n = 71406594 and 71406603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71406631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215565 + ... + 215895.

It is an arithmetic number, because the mean of its divisors is an integer number (1613520).

Almost surely, 2^71406630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71406630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103265280).

71406630 is an abundant number, since it is smaller than the sum of its proper divisors (135123930).

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

71406630 is a wasteful number, since it uses less digits than its factorization.

71406630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 71406630 is about 8450.2443751645. The cubic root of 71406630 is about 414.8707779798.

The spelling of 71406630 in words is "seventy-one million, four hundred six thousand, six hundred thirty".