71660400 has 240 divisors, whose sum is σ = 276768000. Its totient is φ = 15482880.

The previous prime is 71660353. The next prime is 71660431. The reversal of 71660400 is 406617.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159376 + ... + 159824.

It is an arithmetic number, because the mean of its divisors is an integer number (1153200).

Almost surely, 2^71660400 is an apocalyptic number.

71660400 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 71660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

71660400 is an abundant number, since it is smaller than the sum of its proper divisors (205107600).

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

71660400 is a wasteful number, since it uses less digits than its factorization.

71660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 71660400 is about 8465.2466000702. The cubic root of 71660400 is about 415.3616627604.

It can be divided in two parts, 716 and 60400, that added together give a palindrome (61116).

The spelling of 71660400 in words is "seventy-one million, six hundred sixty thousand, four hundred".