1190790721 has 32 divisors (see below), whose sum is σ = 1355387040. Its totient is φ = 1040449536.

The previous prime is 1190790677. The next prime is 1190790737. The reversal of 1190790721 is 1270970911.

It can be written as a sum of positive squares in 16 ways, for example, as 16769025 + 1174021696 = 4095^2 + 34264^2 .

It is a 3-Lehmer number, since φ(1190790721) divides (1190790721-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 1190790721 - 2¹⁹ = 1190266433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_1190790720.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1190790751) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1769041 + ... + 1769713.

It is an arithmetic number, because the mean of its divisors is an integer number (42355845).

It is a Poulet number, since it divides 2^1190790720-1.

Almost surely, 2^1190790721 is an apocalyptic number.

It is an amenable number.

1190790721 is a deficient number, since it is larger than the sum of its proper divisors (164596319).

1190790721 is a wasteful number, since it uses less digits than its factorization.

1190790721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853.

The product of its (nonzero) digits is 7938, while the sum is 37.

The square root of 1190790721 is about 34507.8356464151. The cubic root of 1190790721 is about 1059.9331632831.

It can be divided in two parts, 1190 and 790721, that added together give a triangular number (791911 = T₁₂₅₈).

The spelling of 1190790721 in words is "one billion, one hundred ninety million, seven hundred ninety thousand, seven hundred twenty-one".