711145890 has 192 divisors, whose sum is σ = 2349914112. Its totient is φ = 145152000.

The previous prime is 711145847. The next prime is 711145931. The reversal of 711145890 is 98541117.

711145890 is a `hidden beast` number, since 7 + 111 + 458 + 90 = 666.

711145890 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×711145890³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252490 + ... + 255290.

It is an arithmetic number, because the mean of its divisors is an integer number (12239136).

Almost surely, 2^711145890 is an apocalyptic number.

711145890 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 711145890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174957056).

711145890 is an abundant number, since it is smaller than the sum of its proper divisors (1638768222).

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

711145890 is a wasteful number, since it uses less digits than its factorization.

711145890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 711145890 is about 26667.3187628603. The cubic root of 711145890 is about 892.5918178729.

The spelling of 711145890 in words is "seven hundred eleven million, one hundred forty-five thousand, eight hundred ninety".