126932400 has 480 divisors, whose sum is σ = 546155520. Its totient is φ = 27371520.

The previous prime is 126932389. The next prime is 126932417. The reversal of 126932400 is 4239621.

It is a super-2 number, since 2×126932400² = 32223668339520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738764 + ... + 1738836.

It is an arithmetic number, because the mean of its divisors is an integer number (1137824).

Almost surely, 2^126932400 is an apocalyptic number.

126932400 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 126932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273077760).

126932400 is an abundant number, since it is smaller than the sum of its proper divisors (419223120).

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

126932400 is a wasteful number, since it uses less digits than its factorization.

126932400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126932400 is about 11266.4280053618. The cubic root of 126932400 is about 502.5633691525.

The spelling of 126932400 in words is "one hundred twenty-six million, nine hundred thirty-two thousand, four hundred".