66096900 has 81 divisors (see below), whose sum is σ = 207944373. Its totient is φ = 17560800.

The previous prime is 66096889. The next prime is 66096913. The reversal of 66096900 is 969066.

66096900 = T₂₂₈₇ + T₂₂₈₈ + ... + T₂₃₁₁.

The square root of 66096900 is 8130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23794884 + 42302016 = 4878^2 + 6504^2 .

It is a super-2 number, since 2×66096900² = 8737600379220000, which contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 243765 + ... + 244035.

Almost surely, 2^66096900 is an apocalyptic number.

66096900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66096900 is the 8130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66096900

66096900 is an abundant number, since it is smaller than the sum of its proper divisors (141847473).

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

66096900 is a wasteful number, since it uses less digits than its factorization.

66096900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The cubic root of 66096900 is about 404.3216811882.

Multiplying 66096900 by its sum of digits (36), we get a square (2379488400 = 48780²).

66096900 divided by its sum of digits (36) gives a square (1836025 = 1355²).

It can be divided in two parts, 6 and 6096900, that added together give a palindrome (6096906).

The spelling of 66096900 in words is "sixty-six million, ninety-six thousand, nine hundred".