168772464 has 320 divisors, whose sum is σ = 607104000. Its totient is φ = 44706816.

The previous prime is 168772453. The next prime is 168772493. The reversal of 168772464 is 464277861.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (451584) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2518959 + ... + 2519025.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^168772464 is an apocalyptic number.

168772464 is a gapful number since it is divisible by the number (14) 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 168772464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552000).

168772464 is an abundant number, since it is smaller than the sum of its proper divisors (438331536).

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

168772464 is a wasteful number, since it uses less digits than its factorization.

168772464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 168772464 is about 12991.2456677564. The cubic root of 168772464 is about 552.6292446217.

The spelling of 168772464 in words is "one hundred sixty-eight million, seven hundred seventy-two thousand, four hundred sixty-four".