62742400 has 96 divisors (see below), whose sum is σ = 177198480. Its totient is φ = 21504000.

The previous prime is 62742397. The next prime is 62742443. The reversal of 62742400 is 424726.

It is a hoax number, since the sum of its digits (25) 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 (25).

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, 21000 + ... + 23800.

Almost surely, 2^62742400 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 62742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88599240).

62742400 is an abundant number, since it is smaller than the sum of its proper divisors (114456080).

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

62742400 is a wasteful number, since it uses less digits than its factorization.

62742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 62742400 is about 7921.0100366052. The cubic root of 62742400 is about 397.3626491690.

The spelling of 62742400 in words is "sixty-two million, seven hundred forty-two thousand, four hundred".