1864764 has 72 divisors (see below), whose sum is σ = 5464368. Its totient is φ = 529920.

The previous prime is 1864739. The next prime is 1864769. The reversal of 1864764 is 4674681.

1864764 = T₃₇ + T₃₈ + ... + T₂₂₃.

1864764 is a `hidden beast` number, since 1 + 8 + 647 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 (1864769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6594 + ... + 6870.

It is an arithmetic number, because the mean of its divisors is an integer number (75894).

2^1864764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1864764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732184).

1864764 is an abundant number, since it is smaller than the sum of its proper divisors (3599604).

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

1864764 is a wasteful number, since it uses less digits than its factorization.

1864764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1864764 is about 1365.5636199021. The cubic root of 1864764 is about 123.0858017233.

It can be divided in two parts, 1864 and 764, that added together give a triangular number (2628 = T₇₂).

The spelling of 1864764 in words is "one million, eight hundred sixty-four thousand, seven hundred sixty-four".