166293540 has 384 divisors, whose sum is σ = 643507200. Its totient is φ = 34836480.

The previous prime is 166293539. The next prime is 166293557. The reversal of 166293540 is 45392661.

It is a happy number.

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 = 166293495 and 166293504.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4055920 + ... + 4055960.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2^166293540 is an apocalyptic number.

166293540 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 166293540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

166293540 is an abundant number, since it is smaller than the sum of its proper divisors (477213660).

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

166293540 is a wasteful number, since it uses less digits than its factorization.

166293540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 166293540 is about 12895.4852564764. The cubic root of 166293540 is about 549.9102222608.

The spelling of 166293540 in words is "one hundred sixty-six million, two hundred ninety-three thousand, five hundred forty".