126614040 has 192 divisors, whose sum is σ = 450372960. Its totient is φ = 28385280.

The previous prime is 126613997. The next prime is 126614051. The reversal of 126614040 is 40416621.

It is a super-2 number, since 2×126614040² = 32062230250243200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126614040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358504 + ... + 358856.

Almost surely, 2^126614040 is an apocalyptic number.

126614040 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 126614040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225186480).

126614040 is an abundant number, since it is smaller than the sum of its proper divisors (323758920).

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

126614040 is a wasteful number, since it uses less digits than its factorization.

126614040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126614040 is about 11252.2904335073. The cubic root of 126614040 is about 502.1428565455.

The spelling of 126614040 in words is "one hundred twenty-six million, six hundred fourteen thousand, forty".