1390991616 has 405 divisors, whose sum is σ = 4958784369. Its totient is φ = 386684928.

The previous prime is 1390991573. The next prime is 1390991617. The reversal of 1390991616 is 6161990931.

The square root of 1390991616 is 37296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1244678400 + 146313216 = 35280^2 + 12096^2 .

It is not an unprimeable number, because it can be changed into a prime (1390991617) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37594350 + ... + 37594386.

Almost surely, 2^1390991616 is an apocalyptic number.

1390991616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1390991616 is the 37296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390991616

1390991616 is an abundant number, since it is smaller than the sum of its proper divisors (3567792753).

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

1390991616 is an frugal number, since it uses more digits than its factorization.

1390991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The cubic root of 1390991616 is about 1116.2843534866.

It can be divided in two parts, 139099 and 1616, that added together give a triangular number (140715 = T₅₃₀).

The spelling of 1390991616 in words is "one billion, three hundred ninety million, nine hundred ninety-one thousand, six hundred sixteen".