1864850040 has 192 divisors, whose sum is σ = 6327266400. Its totient is φ = 493972992.

The previous prime is 1864850033. The next prime is 1864850081. The reversal of 1864850040 is 400584681.

1864850040 is a `hidden beast` number, since 1 + 8 + 648 + 5 + 0 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1864849977 and 1864850004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1681006 + ... + 1682114.

Almost surely, 2^1864850040 is an apocalyptic number.

1864850040 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 1864850040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163633200).

1864850040 is an abundant number, since it is smaller than the sum of its proper divisors (4462416360).

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

1864850040 is a wasteful number, since it uses less digits than its factorization.

1864850040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1292 counting only the distinct ones).

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

The square root of 1864850040 is about 43183.9095034250. The cubic root of 1864850040 is about 1230.8769474914.

The spelling of 1864850040 in words is "one billion, eight hundred sixty-four million, eight hundred fifty thousand, forty".