60468000 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 16121600.

The previous prime is 60467999. The next prime is 60468049. The reversal of 60468000 is 86406.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9481 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^60468000 is an apocalyptic number.

60468000 is a gapful number since it is divisible by the number (60) 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 60468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

60468000 is an abundant number, since it is smaller than the sum of its proper divisors (137664480).

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

60468000 is a wasteful number, since it uses less digits than its factorization.

60468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 60468000 is about 7776.1172830661. The cubic root of 60468000 is about 392.5019946617.

The spelling of 60468000 in words is "sixty million, four hundred sixty-eight thousand".