1642464 has 48 divisors (see below), whose sum is σ = 4793040. Its totient is φ = 547200.

The previous prime is 1642463. The next prime is 1642481. The reversal of 1642464 is 4642461.

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 1814.

It is an arithmetic number, because the mean of its divisors is an integer number (99855).

2^1642464 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 1642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396520).

1642464 is an abundant number, since it is smaller than the sum of its proper divisors (3150576).

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

1642464 is a wasteful number, since it uses less digits than its factorization.

1642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1642464 is about 1281.5865167830. The cubic root of 1642464 is about 117.9864008076.

It can be divided in two parts, 164 and 2464, that added together give a triangular number (2628 = T₇₂).

The spelling of 1642464 in words is "one million, six hundred forty-two thousand, four hundred sixty-four".