62025264 has 240 divisors, whose sum is σ = 214486272. Its totient is φ = 16982784.

The previous prime is 62025247. The next prime is 62025281. The reversal of 62025264 is 46252026.

62025264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (62025247) and next prime (62025281).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170262 + ... + 1170314.

Almost surely, 2^62025264 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 62025264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

62025264 is an abundant number, since it is smaller than the sum of its proper divisors (152461008).

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

62025264 is a wasteful number, since it uses less digits than its factorization.

62025264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 62025264 is about 7875.6119762213. The cubic root of 62025264 is about 395.8429129008.

The spelling of 62025264 in words is "sixty-two million, twenty-five thousand, two hundred sixty-four".