1690414920 has 192 divisors, whose sum is σ = 5792754240. Its totient is φ = 443232000.

The previous prime is 1690414909. The next prime is 1690414927. The reversal of 1690414920 is 294140961.

It is a happy number.

1690414920 is a `hidden beast` number, since 169 + 0 + 4 + 1 + 492 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1690414927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591495 + ... + 594345.

It is an arithmetic number, because the mean of its divisors is an integer number (30170595).

Almost surely, 2^1690414920 is an apocalyptic number.

1690414920 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 1690414920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896377120).

1690414920 is an abundant number, since it is smaller than the sum of its proper divisors (4102339320).

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

1690414920 is a wasteful number, since it uses less digits than its factorization.

1690414920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1690414920 is about 41114.6557811202. The cubic root of 1690414920 is about 1191.2358979211.

The spelling of 1690414920 in words is "one billion, six hundred ninety million, four hundred fourteen thousand, nine hundred twenty".