62952480 has 72 divisors (see below), whose sum is σ = 214830252. Its totient is φ = 16786944.

The previous prime is 62952457. The next prime is 62952481. The reversal of 62952480 is 8425926.

It is a happy number.

62952480 is a `hidden beast` number, since 629 + 5 + 24 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 5253264 = 7596^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (62952481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20419 + ... + 23298.

Almost surely, 2^62952480 is an apocalyptic number.

62952480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

62952480 is an abundant number, since it is smaller than the sum of its proper divisors (151877772).

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

62952480 is a wasteful number, since it uses less digits than its factorization.

62952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43738 (or 43727 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 62952480 is about 7934.2598898700. The cubic root of 62952480 is about 397.8056507580.

The spelling of 62952480 in words is "sixty-two million, nine hundred fifty-two thousand, four hundred eighty".