1040626720 has 288 divisors, whose sum is σ = 3102624000. Its totient is φ = 327849984.

The previous prime is 1040626649. The next prime is 1040626757. The reversal of 1040626720 is 276260401.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5229181 + ... + 5229379.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^1040626720 is an apocalyptic number.

1040626720 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 1040626720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312000).

1040626720 is an abundant number, since it is smaller than the sum of its proper divisors (2061997280).

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

1040626720 is a wasteful number, since it uses less digits than its factorization.

1040626720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1040626720 is about 32258.7464108573. The cubic root of 1040626720 is about 1013.3628781013.

It can be divided in two parts, 1040 and 626720, that added together give a triangular number (627760 = T₁₁₂₀).

The spelling of 1040626720 in words is "one billion, forty million, six hundred twenty-six thousand, seven hundred twenty".