66927840 has 96 divisors (see below), whose sum is σ = 240952320. Its totient is φ = 15297024.

The previous prime is 66927829. The next prime is 66927943. The reversal of 66927840 is 4872966.

66927840 = T₄₈₈ + T₄₈₉ + ... + T₈₀₂.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×66927840³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66927792 and 66927801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6600 + ... + 13319.

It is an arithmetic number, because the mean of its divisors is an integer number (2509920).

Almost surely, 2^66927840 is an apocalyptic number.

66927840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66927840 is an abundant number, since it is smaller than the sum of its proper divisors (174024480).

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

66927840 is a wasteful number, since it uses less digits than its factorization.

66927840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19944 (or 19936 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 66927840 is about 8180.9437108441. The cubic root of 66927840 is about 406.0089460687.

The spelling of 66927840 in words is "sixty-six million, nine hundred twenty-seven thousand, eight hundred forty".