126720480 has 96 divisors (see below), whose sum is σ = 401272704. Its totient is φ = 33614336.

The previous prime is 126720469. The next prime is 126720491. The reversal of 126720480 is 84027621.

It is an interprime number because it is at equal distance from previous prime (126720469) and next prime (126720491).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108379 + ... + 109541.

It is an arithmetic number, because the mean of its divisors is an integer number (4179924).

Almost surely, 2^126720480 is an apocalyptic number.

126720480 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 126720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200636352).

126720480 is an abundant number, since it is smaller than the sum of its proper divisors (274552224).

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

126720480 is a wasteful number, since it uses less digits than its factorization.

126720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 126720480 is about 11257.0191436277. The cubic root of 126720480 is about 502.2835284523.

The spelling of 126720480 in words is "one hundred twenty-six million, seven hundred twenty thousand, four hundred eighty".