611472120 has 128 divisors (see below), whose sum is σ = 2111961600. Its totient is φ = 138733056.

The previous prime is 611472091. The next prime is 611472131. The reversal of 611472120 is 21274116.

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 31 ways as a sum of consecutive naturals, for example, 114142 + ... + 119378.

It is an arithmetic number, because the mean of its divisors is an integer number (16499700).

Almost surely, 2^611472120 is an apocalyptic number.

611472120 is a gapful number since it is divisible by the number (60) 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 611472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055980800).

611472120 is an abundant number, since it is smaller than the sum of its proper divisors (1500489480).

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

611472120 is a wasteful number, since it uses less digits than its factorization.

611472120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 611472120 is about 24727.9623099033. The cubic root of 611472120 is about 848.7742979749.

The spelling of 611472120 in words is "six hundred eleven million, four hundred seventy-two thousand, one hundred twenty".