1024072962 has 64 divisors (see below), whose sum is σ = 2379456000. Its totient is φ = 290382080.

The previous prime is 1024072961. The next prime is 1024072967. The reversal of 1024072962 is 2692704201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1024072961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198289 + ... + 203387.

It is an arithmetic number, because the mean of its divisors is an integer number (37179000).

Almost surely, 2^1024072962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024072962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189728000).

1024072962 is an abundant number, since it is smaller than the sum of its proper divisors (1355383038).

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

1024072962 is a wasteful number, since it uses less digits than its factorization.

1024072962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1024072962 is about 32001.1400109434. The cubic root of 1024072962 is about 1007.9607785035.

The spelling of 1024072962 in words is "one billion, twenty-four million, seventy-two thousand, nine hundred sixty-two".