60417864 has 96 divisors (see below), whose sum is σ = 186633720. Its totient is φ = 17491968.

The previous prime is 60417859. The next prime is 60417883. The reversal of 60417864 is 46871406.

It can be written as a sum of positive squares in 4 ways, for example, as 30802500 + 29615364 = 5550^2 + 5442^2 .

It is a super-3 number, since 3×60417864³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14014 + ... + 17810.

Almost surely, 2^60417864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60417864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93316860).

60417864 is an abundant number, since it is smaller than the sum of its proper divisors (126215856).

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

60417864 is a wasteful number, since it uses less digits than its factorization.

60417864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 60417864 is about 7772.8928977569. The cubic root of 60417864 is about 392.3934859122.

The spelling of 60417864 in words is "sixty million, four hundred seventeen thousand, eight hundred sixty-four".