126920400 has 60 divisors (see below), whose sum is σ = 406572192. Its totient is φ = 33845120.

The previous prime is 126920393. The next prime is 126920401. The reversal of 126920400 is 4029621.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×126920400² = 32217575872320000, 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 not an unprimeable number, because it can be changed into a prime (126920401) 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, 51684 + ... + 54083.

Almost surely, 2^126920400 is an apocalyptic number.

126920400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126920400 is an abundant number, since it is smaller than the sum of its proper divisors (279651792).

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

126920400 is a wasteful number, since it uses less digits than its factorization.

126920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105788 (or 105777 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 126920400 is about 11265.8954371146. The cubic root of 126920400 is about 502.5475314559.

The spelling of 126920400 in words is "one hundred twenty-six million, nine hundred twenty thousand, four hundred".