1864607940 has 288 divisors, whose sum is σ = 6791541120. Its totient is φ = 409079808.

The previous prime is 1864607929. The next prime is 1864607951. The reversal of 1864607940 is 497064681.

1864607940 is a `hidden beast` number, since 1 + 86 + 460 + 79 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1864607929) and next prime (1864607951).

It is a super-2 number, since 2×1864607940² = 6953525539822087200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754587 + ... + 757053.

It is an arithmetic number, because the mean of its divisors is an integer number (23581740).

Almost surely, 2^1864607940 is an apocalyptic number.

1864607940 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 1864607940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395770560).

1864607940 is an abundant number, since it is smaller than the sum of its proper divisors (4926933180).

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

1864607940 is a wasteful number, since it uses less digits than its factorization.

1864607940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1864607940 is about 43181.1062850409. The cubic root of 1864607940 is about 1230.8236799008.

The spelling of 1864607940 in words is "one billion, eight hundred sixty-four million, six hundred seven thousand, nine hundred forty".