611640400 has 120 divisors (see below), whose sum is σ = 1767932480. Its totient is φ = 198650880.

The previous prime is 611640397. The next prime is 611640401. The reversal of 611640400 is 4046116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611640401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47452 + ... + 58948.

Almost surely, 2^611640400 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 611640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883966240).

611640400 is an abundant number, since it is smaller than the sum of its proper divisors (1156292080).

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

611640400 is a wasteful number, since it uses less digits than its factorization.

611640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11541 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 611640400 is about 24731.3647015283. The cubic root of 611640400 is about 848.8521530580.

Adding to 611640400 its reverse (4046116), we get a palindrome (615686516).

It can be divided in two parts, 61 and 1640400, that added together give a palindrome (1640461).

The spelling of 611640400 in words is "six hundred eleven million, six hundred forty thousand, four hundred".