163742040 has 384 divisors, whose sum is σ = 689472000. Its totient is φ = 33834240.

The previous prime is 163742021. The next prime is 163742053. The reversal of 163742040 is 40247361.

163742040 is a `hidden beast` number, since 1 + 637 + 4 + 20 + 4 + 0 = 666.

It is a super-2 number, since 2×163742040² = 53622911326723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 163741995 and 163742013.

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, 914671 + ... + 914849.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^163742040 is an apocalyptic number.

163742040 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 163742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

163742040 is an abundant number, since it is smaller than the sum of its proper divisors (525729960).

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

163742040 is a wasteful number, since it uses less digits than its factorization.

163742040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 163742040 is about 12796.1728653531. The cubic root of 163742040 is about 547.0832256973.

The spelling of 163742040 in words is "one hundred sixty-three million, seven hundred forty-two thousand, forty".