611911872 has 672 divisors, whose sum is σ = 2396459520. Its totient is φ = 145981440.

The previous prime is 611911789. The next prime is 611911877. The reversal of 611911872 is 278119116.

It is a super-2 number, since 2×611911872² = 748872278189088768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (611911877) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26604853 + ... + 26604875.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2^611911872 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 611911872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

611911872 is an abundant number, since it is smaller than the sum of its proper divisors (1784547648).

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

611911872 is a wasteful number, since it uses less digits than its factorization.

611911872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 611911872 is about 24736.8525079485. The cubic root of 611911872 is about 848.9777200345.

The spelling of 611911872 in words is "six hundred eleven million, nine hundred eleven thousand, eight hundred seventy-two".