1690619040 has 576 divisors, whose sum is σ = 6736504320. Its totient is φ = 396887040.

The previous prime is 1690618987. The next prime is 1690619081. The reversal of 1690619040 is 409160961.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1690618986 and 1690619004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25233087 + ... + 25233153.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^1690619040 is an apocalyptic number.

1690619040 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 1690619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368252160).

1690619040 is an abundant number, since it is smaller than the sum of its proper divisors (5045885280).

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

1690619040 is a wasteful number, since it uses less digits than its factorization.

1690619040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1690619040 is about 41117.1380326987. The cubic root of 1690619040 is about 1191.2838437996.

The spelling of 1690619040 in words is "one billion, six hundred ninety million, six hundred nineteen thousand, forty".