515661120 has 224 divisors, whose sum is σ = 1959498240. Its totient is φ = 126904320.

The previous prime is 515661103. The next prime is 515661169. The reversal of 515661120 is 21166515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 110025 + ... + 114615.

It is an arithmetic number, because the mean of its divisors is an integer number (8747760).

Almost surely, 2^515661120 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 515661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979749120).

515661120 is an abundant number, since it is smaller than the sum of its proper divisors (1443837120).

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

515661120 is a wasteful number, since it uses less digits than its factorization.

515661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 515661120 is about 22708.1729780271. The cubic root of 515661120 is about 801.9023062864.

The spelling of 515661120 in words is "five hundred fifteen million, six hundred sixty-one thousand, one hundred twenty".