64167642 has 96 divisors (see below), whose sum is σ = 176177664. Its totient is φ = 16394400.

The previous prime is 64167629. The next prime is 64167659. The reversal of 64167642 is 24676146.

64167642 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 7 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64167597 and 64167606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92517 + ... + 93207.

It is an arithmetic number, because the mean of its divisors is an integer number (1835184).

Almost surely, 2^64167642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64167642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88088832).

64167642 is an abundant number, since it is smaller than the sum of its proper divisors (112010022).

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

64167642 is a wasteful number, since it uses less digits than its factorization.

64167642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 64167642 is about 8010.4707726825. The cubic root of 64167642 is about 400.3489496635.

The spelling of 64167642 in words is "sixty-four million, one hundred sixty-seven thousand, six hundred forty-two".