66874500 has 288 divisors, whose sum is σ = 264386304. Its totient is φ = 13824000.

The previous prime is 66874487. The next prime is 66874513. The reversal of 66874500 is 547866.

66874500 = T₃₈₅ + T₃₈₆ + ... + T₇₇₀.

66874500 = 490² + 491² + ... + 682².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66874487) and next prime (66874513).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 346404 + ... + 346596.

It is an arithmetic number, because the mean of its divisors is an integer number (918008).

Almost surely, 2^66874500 is an apocalyptic number.

66874500 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 66874500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132193152).

66874500 is an abundant number, since it is smaller than the sum of its proper divisors (197511804).

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

66874500 is a wasteful number, since it uses less digits than its factorization.

66874500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66874500 is about 8177.6830459489. The cubic root of 66874500 is about 405.9010573685.

The spelling of 66874500 in words is "sixty-six million, eight hundred seventy-four thousand, five hundred".