1690738140 has 288 divisors, whose sum is σ = 6126188544. Its totient is φ = 344977920.

The previous prime is 1690738121. The next prime is 1690738141. The reversal of 1690738140 is 418370961.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690738141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184107 + ... + 1185533.

It is an arithmetic number, because the mean of its divisors is an integer number (21271488).

Almost surely, 2^1690738140 is an apocalyptic number.

1690738140 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 1690738140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063094272).

1690738140 is an abundant number, since it is smaller than the sum of its proper divisors (4435450404).

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

1690738140 is a wasteful number, since it uses less digits than its factorization.

1690738140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1690738140 is about 41118.5863083837. The cubic root of 1690738140 is about 1191.3118174926.

The spelling of 1690738140 in words is "one billion, six hundred ninety million, seven hundred thirty-eight thousand, one hundred forty".