666134400 has 96 divisors (see below), whose sum is σ = 2194111800. Its totient is φ = 177633280.

The previous prime is 666134387. The next prime is 666134401. The reversal of 666134400 is 4431666.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666134401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25095 + ... + 44294.

Almost surely, 2^666134400 is an apocalyptic number.

666134400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

666134400 is an abundant number, since it is smaller than the sum of its proper divisors (1527977400).

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

666134400 is a wasteful number, since it uses less digits than its factorization.

666134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69416 (or 69399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 666134400 is about 25809.5796168787. The cubic root of 666134400 is about 873.3479139548.

It can be divided in two parts, 6 and 66134400, that multiplied together give a square (396806400 = 19920²).

The spelling of 666134400 in words is "six hundred sixty-six million, one hundred thirty-four thousand, four hundred".