62501600 has 72 divisors (see below), whose sum is σ = 174395088. Its totient is φ = 21427200.

The previous prime is 62501567. The next prime is 62501617. The reversal of 62501600 is 610526.

It is a sliding number, since 62501600 = 1600 + 62500000 and 1/1600 + 1/62500000 = 0.00062501600.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (2422154).

Almost surely, 2^62501600 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 62501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87197544).

62501600 is an abundant number, since it is smaller than the sum of its proper divisors (111893488).

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

62501600 is a wasteful number, since it uses less digits than its factorization.

62501600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11188 (or 11175 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 62501600 is about 7905.7953426584. The cubic root of 62501600 is about 396.8536494187.

It can be divided in two parts, 6250 and 1600, that multiplied together give a 7-th power (10000000 = 10⁷).

The spelling of 62501600 in words is "sixty-two million, five hundred one thousand, six hundred".