126764160 has 128 divisors (see below), whose sum is σ = 408620160. Its totient is φ = 33423360.

The previous prime is 126764153. The next prime is 126764167. The reversal of 126764160 is 61467621.

It is an interprime number because it is at equal distance from previous prime (126764153) and next prime (126764167).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (126764167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197440 + ... + 198080.

It is an arithmetic number, because the mean of its divisors is an integer number (3192345).

Almost surely, 2^126764160 is an apocalyptic number.

126764160 is a gapful number since it is divisible by the number (10) 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 126764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204310080).

126764160 is an abundant number, since it is smaller than the sum of its proper divisors (281856000).

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

126764160 is a wasteful number, since it uses less digits than its factorization.

126764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 126764160 is about 11258.9590993129. The cubic root of 126764160 is about 502.3412334741.

It can be divided in two parts, 12676 and 4160, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 126764160 in words is "one hundred twenty-six million, seven hundred sixty-four thousand, one hundred sixty".