1864054080 has 896 divisors, whose sum is σ = 8339328000. Its totient is φ = 390168576.

The previous prime is 1864054037. The next prime is 1864054091. The reversal of 1864054080 is 804504681.

1864054080 is a `hidden beast` number, since 1 + 8 + 640 + 5 + 4 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×1864054080² = 6949395226329292800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50379822 + ... + 50379858.

Almost surely, 2^1864054080 is an apocalyptic number.

1864054080 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 1864054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169664000).

1864054080 is an abundant number, since it is smaller than the sum of its proper divisors (6475273920).

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

1864054080 is a wasteful number, since it uses less digits than its factorization.

1864054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1864054080 is about 43174.6925872090. The cubic root of 1864054080 is about 1230.7018005686.

The spelling of 1864054080 in words is "one billion, eight hundred sixty-four million, fifty-four thousand, eighty".