187764864 has 192 divisors, whose sum is σ = 615353760. Its totient is φ = 50405376.

The previous prime is 187764851. The next prime is 187764869. The reversal of 187764864 is 468467781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (187764869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319579 + ... + 320165.

Almost surely, 2^187764864 is an apocalyptic number.

187764864 is a gapful number since it is divisible by the number (14) 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 187764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307676880).

187764864 is an abundant number, since it is smaller than the sum of its proper divisors (427588896).

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

187764864 is a wasteful number, since it uses less digits than its factorization.

187764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 187764864 is about 13702.7319903733. The cubic root of 187764864 is about 572.6264998905.

The spelling of 187764864 in words is "one hundred eighty-seven million, seven hundred sixty-four thousand, eight hundred sixty-four".