1690295040 has 720 divisors, whose sum is σ = 7372233792. Its totient is φ = 360972288.

The previous prime is 1690295003. The next prime is 1690295051. The reversal of 1690295040 is 405920961.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1690294986 and 1690295004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12337852 + ... + 12337988.

Almost surely, 2^1690295040 is an apocalyptic number.

1690295040 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 1690295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686116896).

1690295040 is an abundant number, since it is smaller than the sum of its proper divisors (5681938752).

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

1690295040 is a wasteful number, since it uses less digits than its factorization.

1690295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1690295040 is about 41113.1978809725. The cubic root of 1690295040 is about 1191.2077374315.

The spelling of 1690295040 in words is "one billion, six hundred ninety million, two hundred ninety-five thousand, forty".