71618680 has 128 divisors (see below), whose sum is σ = 196116480. Its totient is φ = 23016960.

The previous prime is 71618663. The next prime is 71618699. The reversal of 71618680 is 8681617.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321049 + ... + 321271.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 2^71618680 is an apocalyptic number.

71618680 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 71618680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

71618680 is an abundant number, since it is smaller than the sum of its proper divisors (124497800).

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

71618680 is a wasteful number, since it uses less digits than its factorization.

71618680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 71618680 is about 8462.7820484755. The cubic root of 71618680 is about 415.2810405825.

The spelling of 71618680 in words is "seventy-one million, six hundred eighteen thousand, six hundred eighty".