1864114560 has 640 divisors, whose sum is σ = 8317520640. Its totient is φ = 386519040.

The previous prime is 1864114559. The next prime is 1864114561. The reversal of 1864114560 is 654114681.

1864114560 is a `hidden beast` number, since 1 + 8 + 641 + 1 + 4 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1864114559) and next prime (1864114561).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864114561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991447 + ... + 3991913.

It is an arithmetic number, because the mean of its divisors is an integer number (12996126).

Almost surely, 2^1864114560 is an apocalyptic number.

1864114560 is a gapful number since it is divisible by the number (10) 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 1864114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158760320).

1864114560 is an abundant number, since it is smaller than the sum of its proper divisors (6453406080).

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

1864114560 is a wasteful number, since it uses less digits than its factorization.

1864114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1864114560 is about 43175.3929918420. The cubic root of 1864114560 is about 1230.7151106331.

The spelling of 1864114560 in words is "one billion, eight hundred sixty-four million, one hundred fourteen thousand, five hundred sixty".