71609400 has 192 divisors, whose sum is σ = 251100000. Its totient is φ = 18754560.

The previous prime is 71609387. The next prime is 71609401. The reversal of 71609400 is 490617.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71609401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480526 + ... + 480674.

Almost surely, 2^71609400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71609400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125550000).

71609400 is an abundant number, since it is smaller than the sum of its proper divisors (179490600).

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

71609400 is a wasteful number, since it uses less digits than its factorization.

71609400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71609400 is about 8462.2337476579. The cubic root of 71609400 is about 415.2631031090.

The spelling of 71609400 in words is "seventy-one million, six hundred nine thousand, four hundred".