58649664 has 56 divisors (see below), whose sum is σ = 155923488. Its totient is φ = 19456000.

The previous prime is 58649653. The next prime is 58649671. The reversal of 58649664 is 46694685.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47584 + ... + 48800.

It is an arithmetic number, because the mean of its divisors is an integer number (2784348).

Almost surely, 2^58649664 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 58649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77961744).

58649664 is an abundant number, since it is smaller than the sum of its proper divisors (97273824).

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

58649664 is a wasteful number, since it uses less digits than its factorization.

58649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1473 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 58649664 is about 7658.3068624860. The cubic root of 58649664 is about 388.5275708450.

The spelling of 58649664 in words is "fifty-eight million, six hundred forty-nine thousand, six hundred sixty-four".