42624820 has 48 divisors (see below), whose sum is σ = 102791808. Its totient is φ = 14544000.

The previous prime is 42624811. The next prime is 42624823. The reversal of 42624820 is 2842624.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42624823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34534 + ... + 35746.

It is an arithmetic number, because the mean of its divisors is an integer number (2141496).

Almost surely, 2^42624820 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 42624820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51395904).

42624820 is an abundant number, since it is smaller than the sum of its proper divisors (60166988).

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

42624820 is a wasteful number, since it uses less digits than its factorization.

42624820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 42624820 is about 6528.7686434733. The cubic root of 42624820 is about 349.3179096810.

The spelling of 42624820 in words is "forty-two million, six hundred twenty-four thousand, eight hundred twenty".