66677580 has 120 divisors (see below), whose sum is σ = 212224320. Its totient is φ = 17521920.

The previous prime is 66677579. The next prime is 66677581. The reversal of 66677580 is 8577666.

It is an interprime number because it is at equal distance from previous prime (66677579) and next prime (66677581).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66677581) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127720 + ... + 128240.

It is an arithmetic number, because the mean of its divisors is an integer number (1768536).

Almost surely, 2^66677580 is an apocalyptic number.

66677580 is a gapful number since it is divisible by the number (60) 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 66677580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106112160).

66677580 is an abundant number, since it is smaller than the sum of its proper divisors (145546740).

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

66677580 is a wasteful number, since it uses less digits than its factorization.

66677580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 66677580 is about 8165.6340843807. The cubic root of 66677580 is about 405.5022575303.

The spelling of 66677580 in words is "sixty-six million, six hundred seventy-seven thousand, five hundred eighty".