126629664 has 48 divisors (see below), whose sum is σ = 379891008. Its totient is φ = 36179712.

The previous prime is 126629663. The next prime is 126629681. The reversal of 126629664 is 466926621.

Added to its reverse (466926621) it gives a triangular number (593556285 = T₃₄₄₅₄).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (126629663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93547 + ... + 94890.

It is an arithmetic number, because the mean of its divisors is an integer number (7914396).

Almost surely, 2^126629664 is an apocalyptic number.

126629664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126629664 is an abundant number, since it is smaller than the sum of its proper divisors (253261344).

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

126629664 is a wasteful number, since it uses less digits than its factorization.

126629664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188457 (or 188449 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 126629664 is about 11252.9846707440. The cubic root of 126629664 is about 502.1635102773.

Adding to 126629664 its reverse (466926621), we get a triangular number (593556285 = T₃₄₄₅₄).

The spelling of 126629664 in words is "one hundred twenty-six million, six hundred twenty-nine thousand, six hundred sixty-four".