62573940 has 324 divisors, whose sum is σ = 239203692. Its totient is φ = 13178880.

The previous prime is 62573939. The next prime is 62573941. The reversal of 62573940 is 4937526.

It is an interprime number because it is at equal distance from previous prime (62573939) and next prime (62573941).

It can be written as a sum of positive squares in 6 ways, for example, as 5963364 + 56610576 = 2442^2 + 7524^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 62573895 and 62573904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62573941) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3680812 + ... + 3680828.

It is an arithmetic number, because the mean of its divisors is an integer number (738283).

Almost surely, 2^62573940 is an apocalyptic number.

62573940 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 62573940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119601846).

62573940 is an abundant number, since it is smaller than the sum of its proper divisors (176629752).

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

62573940 is a wasteful number, since it uses less digits than its factorization.

62573940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 62573940 is about 7910.3691443573. The cubic root of 62573940 is about 397.0066978971.

The spelling of 62573940 in words is "sixty-two million, five hundred seventy-three thousand, nine hundred forty".