126618660 has 384 divisors, whose sum is σ = 496742400. Its totient is φ = 26127360.

The previous prime is 126618649. The next prime is 126618671. The reversal of 126618660 is 66816621.

It is an interprime number because it is at equal distance from previous prime (126618649) and next prime (126618671).

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 127 ways as a sum of consecutive naturals, for example, 2944599 + ... + 2944641.

It is an arithmetic number, because the mean of its divisors is an integer number (1293600).

Almost surely, 2^126618660 is an apocalyptic number.

126618660 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 126618660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248371200).

126618660 is an abundant number, since it is smaller than the sum of its proper divisors (370123740).

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

126618660 is a wasteful number, since it uses less digits than its factorization.

126618660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126618660 is about 11252.4957231718. The cubic root of 126618660 is about 502.1489640087.

It can be divided in two parts, 12661 and 8660, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 126618660 in words is "one hundred twenty-six million, six hundred eighteen thousand, six hundred sixty".