1688477940 has 96 divisors (see below), whose sum is σ = 5529552000. Its totient is φ = 426560256.

The previous prime is 1688477929. The next prime is 1688477963. The reversal of 1688477940 is 497748861.

It is a happy number.

1688477940 is a `hidden beast` number, since 1 + 6 + 88 + 477 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72025 + ... + 92544.

It is an arithmetic number, because the mean of its divisors is an integer number (57599500).

Almost surely, 2^1688477940 is an apocalyptic number.

1688477940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688477940 is an abundant number, since it is smaller than the sum of its proper divisors (3841074060).

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

1688477940 is a wasteful number, since it uses less digits than its factorization.

1688477940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164606 (or 164598 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1688477940 is about 41091.0931954846. The cubic root of 1688477940 is about 1190.7807272283.

The spelling of 1688477940 in words is "one billion, six hundred eighty-eight million, four hundred seventy-seven thousand, nine hundred forty".