1864424016 has 240 divisors, whose sum is σ = 6506805760. Its totient is φ = 485222400.

The previous prime is 1864423991. The next prime is 1864424033. The reversal of 1864424016 is 6104244681.

It is a happy number.

1864424016 is a `hidden beast` number, since 1 + 8 + 644 + 2 + 4 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×1864424016² = 6952153822875136512, 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 47 ways as a sum of consecutive naturals, for example, 1034316 + ... + 1036116.

Almost surely, 2^1864424016 is an apocalyptic number.

1864424016 is a gapful number since it is divisible by the number (16) 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 1864424016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253402880).

1864424016 is an abundant number, since it is smaller than the sum of its proper divisors (4642381744).

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

1864424016 is a wasteful number, since it uses less digits than its factorization.

1864424016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1864424016 is about 43178.9765510949. The cubic root of 1864424016 is about 1230.7832092916.

Adding to 1864424016 its reverse (6104244681), we get a palindrome (7968668697).

The spelling of 1864424016 in words is "one billion, eight hundred sixty-four million, four hundred twenty-four thousand, sixteen".