126690000 has 200 divisors, whose sum is σ = 423014592. Its totient is φ = 32640000.

The previous prime is 126689999. The next prime is 126690019. The reversal of 126690000 is 96621.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×126690000² = 32100712200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1229949 + ... + 1230051.

Almost surely, 2^126690000 is an apocalyptic number.

126690000 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 126690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507296).

126690000 is an abundant number, since it is smaller than the sum of its proper divisors (296324592).

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

126690000 is a wasteful number, since it uses less digits than its factorization.

126690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 126690000 is about 11255.6652402246. The cubic root of 126690000 is about 502.2432539059.

The spelling of 126690000 in words is "one hundred twenty-six million, six hundred ninety thousand".